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Finding the Third Proportional to 404,106,140 and 872,877,478

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Solution

The third proportional to 404,106,140 and 872,877,478 is: 1,885,433,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,106,140 : 872,877,478 = 872,877,478 : x
  2. Step 2: Convert to fraction form
    404,106,140/872,877,478 = 872,877,478/x
  3. Step 3: Cross multiply
    404,106,140x = 872,877,478 × 872,877,478
  4. Step 4: Simplify right side
    404,106,140x = 761,915,091,599,640,448
  5. Step 5: Solve for x
    x = 761,915,091,599,640,448/404,106,140
  6. Step 6: Final answer
    x = 1,885,433,098.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.