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Finding the Third Proportional to 903,327,312 and 1,380,954,348

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Solution

The third proportional to 903,327,312 and 1,380,954,348 is: 2,111,122,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,327,312 : 1,380,954,348 = 1,380,954,348 : x
  2. Step 2: Convert to fraction form
    903,327,312/1,380,954,348 = 1,380,954,348/x
  3. Step 3: Cross multiply
    903,327,312x = 1,380,954,348 × 1,380,954,348
  4. Step 4: Simplify right side
    903,327,312x = 1,907,034,911,260,105,216
  5. Step 5: Solve for x
    x = 1,907,034,911,260,105,216/903,327,312
  6. Step 6: Final answer
    x = 2,111,122,829.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.