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Finding the Third Proportional to 53,420 and 77,374

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Solution

The third proportional to 53,420 and 77,374 is: 112,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,420 : 77,374 = 77,374 : x
  2. Step 2: Convert to fraction form
    53,420/77,374 = 77,374/x
  3. Step 3: Cross multiply
    53,420x = 77,374 × 77,374
  4. Step 4: Simplify right side
    53,420x = 5,986,735,876
  5. Step 5: Solve for x
    x = 5,986,735,876/53,420
  6. Step 6: Final answer
    x = 112,069.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.