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Finding the Third Proportional to 317,538 and 432,435

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Solution

The third proportional to 317,538 and 432,435 is: 588,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,538 : 432,435 = 432,435 : x
  2. Step 2: Convert to fraction form
    317,538/432,435 = 432,435/x
  3. Step 3: Cross multiply
    317,538x = 432,435 × 432,435
  4. Step 4: Simplify right side
    317,538x = 187,000,029,225
  5. Step 5: Solve for x
    x = 187,000,029,225/317,538
  6. Step 6: Final answer
    x = 588,905.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.