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Finding the Third Proportional to 53,432 and 83,172

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Solution

The third proportional to 53,432 and 83,172 is: 129,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,432 : 83,172 = 83,172 : x
  2. Step 2: Convert to fraction form
    53,432/83,172 = 83,172/x
  3. Step 3: Cross multiply
    53,432x = 83,172 × 83,172
  4. Step 4: Simplify right side
    53,432x = 6,917,581,584
  5. Step 5: Solve for x
    x = 6,917,581,584/53,432
  6. Step 6: Final answer
    x = 129,465.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.