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Finding the Third Proportional to 131,665 and 310,624

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Solution

The third proportional to 131,665 and 310,624 is: 732,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,665 : 310,624 = 310,624 : x
  2. Step 2: Convert to fraction form
    131,665/310,624 = 310,624/x
  3. Step 3: Cross multiply
    131,665x = 310,624 × 310,624
  4. Step 4: Simplify right side
    131,665x = 96,487,269,376
  5. Step 5: Solve for x
    x = 96,487,269,376/131,665
  6. Step 6: Final answer
    x = 732,823.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.