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Finding the Third Proportional to 157,692 and 344,520

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Solution

The third proportional to 157,692 and 344,520 is: 752,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,692 : 344,520 = 344,520 : x
  2. Step 2: Convert to fraction form
    157,692/344,520 = 344,520/x
  3. Step 3: Cross multiply
    157,692x = 344,520 × 344,520
  4. Step 4: Simplify right side
    157,692x = 118,694,030,400
  5. Step 5: Solve for x
    x = 118,694,030,400/157,692
  6. Step 6: Final answer
    x = 752,695.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.