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Finding the Third Proportional to 137,630 and 291,799

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Solution

The third proportional to 137,630 and 291,799 is: 618,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,630 : 291,799 = 291,799 : x
  2. Step 2: Convert to fraction form
    137,630/291,799 = 291,799/x
  3. Step 3: Cross multiply
    137,630x = 291,799 × 291,799
  4. Step 4: Simplify right side
    137,630x = 85,146,656,401
  5. Step 5: Solve for x
    x = 85,146,656,401/137,630
  6. Step 6: Final answer
    x = 618,663.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.