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Finding the Third Proportional to 68,452,308 and 161,428,120

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Solution

The third proportional to 68,452,308 and 161,428,120 is: 380,688,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,452,308 : 161,428,120 = 161,428,120 : x
  2. Step 2: Convert to fraction form
    68,452,308/161,428,120 = 161,428,120/x
  3. Step 3: Cross multiply
    68,452,308x = 161,428,120 × 161,428,120
  4. Step 4: Simplify right side
    68,452,308x = 26,059,037,926,734,400
  5. Step 5: Solve for x
    x = 26,059,037,926,734,400/68,452,308
  6. Step 6: Final answer
    x = 380,688,959.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.