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Finding the Third Proportional to 291,737 and 393,281

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Solution

The third proportional to 291,737 and 393,281 is: 530,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,737 : 393,281 = 393,281 : x
  2. Step 2: Convert to fraction form
    291,737/393,281 = 393,281/x
  3. Step 3: Cross multiply
    291,737x = 393,281 × 393,281
  4. Step 4: Simplify right side
    291,737x = 154,669,944,961
  5. Step 5: Solve for x
    x = 154,669,944,961/291,737
  6. Step 6: Final answer
    x = 530,169.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.