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Finding the Third Proportional to 409,590 and 614,385

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Solution

The third proportional to 409,590 and 614,385 is: 921,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,590 : 614,385 = 614,385 : x
  2. Step 2: Convert to fraction form
    409,590/614,385 = 614,385/x
  3. Step 3: Cross multiply
    409,590x = 614,385 × 614,385
  4. Step 4: Simplify right side
    409,590x = 377,468,928,225
  5. Step 5: Solve for x
    x = 377,468,928,225/409,590
  6. Step 6: Final answer
    x = 921,577.50

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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.