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Finding the Third Proportional to 57,488 and 77,254

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Solution

The third proportional to 57,488 and 77,254 is: 103,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,488 : 77,254 = 77,254 : x
  2. Step 2: Convert to fraction form
    57,488/77,254 = 77,254/x
  3. Step 3: Cross multiply
    57,488x = 77,254 × 77,254
  4. Step 4: Simplify right side
    57,488x = 5,968,180,516
  5. Step 5: Solve for x
    x = 5,968,180,516/57,488
  6. Step 6: Final answer
    x = 103,816.11

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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.