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Finding the Third Proportional to 143,721 and 217,585

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Solution

The third proportional to 143,721 and 217,585 is: 329,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,721 : 217,585 = 217,585 : x
  2. Step 2: Convert to fraction form
    143,721/217,585 = 217,585/x
  3. Step 3: Cross multiply
    143,721x = 217,585 × 217,585
  4. Step 4: Simplify right side
    143,721x = 47,343,232,225
  5. Step 5: Solve for x
    x = 47,343,232,225/143,721
  6. Step 6: Final answer
    x = 329,410.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.