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Finding the Third Proportional to 57,342 and 77,445

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Solution

The third proportional to 57,342 and 77,445 is: 104,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,342 : 77,445 = 77,445 : x
  2. Step 2: Convert to fraction form
    57,342/77,445 = 77,445/x
  3. Step 3: Cross multiply
    57,342x = 77,445 × 77,445
  4. Step 4: Simplify right side
    57,342x = 5,997,728,025
  5. Step 5: Solve for x
    x = 5,997,728,025/57,342
  6. Step 6: Final answer
    x = 104,595.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.