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Finding the Third Proportional to 137,710 and 291,951

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Solution

The third proportional to 137,710 and 291,951 is: 618,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,710 : 291,951 = 291,951 : x
  2. Step 2: Convert to fraction form
    137,710/291,951 = 291,951/x
  3. Step 3: Cross multiply
    137,710x = 291,951 × 291,951
  4. Step 4: Simplify right side
    137,710x = 85,235,386,401
  5. Step 5: Solve for x
    x = 85,235,386,401/137,710
  6. Step 6: Final answer
    x = 618,948.42

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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.