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Finding the Third Proportional to 62,448 and 93,674

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Solution

The third proportional to 62,448 and 93,674 is: 140,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,448 : 93,674 = 93,674 : x
  2. Step 2: Convert to fraction form
    62,448/93,674 = 93,674/x
  3. Step 3: Cross multiply
    62,448x = 93,674 × 93,674
  4. Step 4: Simplify right side
    62,448x = 8,774,818,276
  5. Step 5: Solve for x
    x = 8,774,818,276/62,448
  6. Step 6: Final answer
    x = 140,514.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.