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Finding the Third Proportional to 137,456 and 297,376

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Solution

The third proportional to 137,456 and 297,376 is: 643,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,456 : 297,376 = 297,376 : x
  2. Step 2: Convert to fraction form
    137,456/297,376 = 297,376/x
  3. Step 3: Cross multiply
    137,456x = 297,376 × 297,376
  4. Step 4: Simplify right side
    137,456x = 88,432,485,376
  5. Step 5: Solve for x
    x = 88,432,485,376/137,456
  6. Step 6: Final answer
    x = 643,351.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.