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Finding the Third Proportional to 57,688 and 84,342

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Solution

The third proportional to 57,688 and 84,342 is: 123,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,688 : 84,342 = 84,342 : x
  2. Step 2: Convert to fraction form
    57,688/84,342 = 84,342/x
  3. Step 3: Cross multiply
    57,688x = 84,342 × 84,342
  4. Step 4: Simplify right side
    57,688x = 7,113,572,964
  5. Step 5: Solve for x
    x = 7,113,572,964/57,688
  6. Step 6: Final answer
    x = 123,311.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.