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Finding the Third Proportional to 77,292 and 103,530

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Solution

The third proportional to 77,292 and 103,530 is: 138,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,292 : 103,530 = 103,530 : x
  2. Step 2: Convert to fraction form
    77,292/103,530 = 103,530/x
  3. Step 3: Cross multiply
    77,292x = 103,530 × 103,530
  4. Step 4: Simplify right side
    77,292x = 10,718,460,900
  5. Step 5: Solve for x
    x = 10,718,460,900/77,292
  6. Step 6: Final answer
    x = 138,674.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.