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Finding the Third Proportional to 149,724 and 215,217

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Solution

The third proportional to 149,724 and 215,217 is: 309,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,724 : 215,217 = 215,217 : x
  2. Step 2: Convert to fraction form
    149,724/215,217 = 215,217/x
  3. Step 3: Cross multiply
    149,724x = 215,217 × 215,217
  4. Step 4: Simplify right side
    149,724x = 46,318,357,089
  5. Step 5: Solve for x
    x = 46,318,357,089/149,724
  6. Step 6: Final answer
    x = 309,358.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.