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Finding the Third Proportional to 128,407 and 309,342

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Solution

The third proportional to 128,407 and 309,342 is: 745,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,407 : 309,342 = 309,342 : x
  2. Step 2: Convert to fraction form
    128,407/309,342 = 309,342/x
  3. Step 3: Cross multiply
    128,407x = 309,342 × 309,342
  4. Step 4: Simplify right side
    128,407x = 95,692,472,964
  5. Step 5: Solve for x
    x = 95,692,472,964/128,407
  6. Step 6: Final answer
    x = 745,227.85

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.