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Finding the Third Proportional to 580,553,874,420 and 908,725,376,106

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Solution

The third proportional to 580,553,874,420 and 908,725,376,106 is: 1,422,403,407,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,553,874,420 : 908,725,376,106 = 908,725,376,106 : x
  2. Step 2: Convert to fraction form
    580,553,874,420/908,725,376,106 = 908,725,376,106/x
  3. Step 3: Cross multiply
    580,553,874,420x = 908,725,376,106 × 908,725,376,106
  4. Step 4: Simplify right side
    580,553,874,420x = 825,781,809,178,991,201,878,016
  5. Step 5: Solve for x
    x = 825,781,809,178,991,201,878,016/580,553,874,420
  6. Step 6: Final answer
    x = 1,422,403,407,442.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.