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Finding the Third Proportional to 147,542 and 316,121

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Solution

The third proportional to 147,542 and 316,121 is: 677,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,542 : 316,121 = 316,121 : x
  2. Step 2: Convert to fraction form
    147,542/316,121 = 316,121/x
  3. Step 3: Cross multiply
    147,542x = 316,121 × 316,121
  4. Step 4: Simplify right side
    147,542x = 99,932,486,641
  5. Step 5: Solve for x
    x = 99,932,486,641/147,542
  6. Step 6: Final answer
    x = 677,315.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.