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Finding the Third Proportional to 272,427,309 and 422,995,459.50

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Solution

The third proportional to 272,427,309 and 422,995,459.50 is: 656,781,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,427,309 : 422,995,459.50 = 422,995,459.50 : x
  2. Step 2: Convert to fraction form
    272,427,309/422,995,459.50 = 422,995,459.50/x
  3. Step 3: Cross multiply
    272,427,309x = 422,995,459.50 × 422,995,459.50
  4. Step 4: Simplify right side
    272,427,309x = 178,925,158,757,616,128
  5. Step 5: Solve for x
    x = 178,925,158,757,616,128/272,427,309
  6. Step 6: Final answer
    x = 656,781,287.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.