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Finding the Third Proportional to 145,524 and 217,719

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Solution

The third proportional to 145,524 and 217,719 is: 325,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,524 : 217,719 = 217,719 : x
  2. Step 2: Convert to fraction form
    145,524/217,719 = 217,719/x
  3. Step 3: Cross multiply
    145,524x = 217,719 × 217,719
  4. Step 4: Simplify right side
    145,524x = 47,401,562,961
  5. Step 5: Solve for x
    x = 47,401,562,961/145,524
  6. Step 6: Final answer
    x = 325,730.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.