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Finding the Third Proportional to 83,440 and 172,712

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Solution

The third proportional to 83,440 and 172,712 is: 357,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,440 : 172,712 = 172,712 : x
  2. Step 2: Convert to fraction form
    83,440/172,712 = 172,712/x
  3. Step 3: Cross multiply
    83,440x = 172,712 × 172,712
  4. Step 4: Simplify right side
    83,440x = 29,829,434,944
  5. Step 5: Solve for x
    x = 29,829,434,944/83,440
  6. Step 6: Final answer
    x = 357,495.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.