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Finding the Third Proportional to 547,264 and 840,624

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Solution

The third proportional to 547,264 and 840,624 is: 1,291,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,264 : 840,624 = 840,624 : x
  2. Step 2: Convert to fraction form
    547,264/840,624 = 840,624/x
  3. Step 3: Cross multiply
    547,264x = 840,624 × 840,624
  4. Step 4: Simplify right side
    547,264x = 706,648,709,376
  5. Step 5: Solve for x
    x = 706,648,709,376/547,264
  6. Step 6: Final answer
    x = 1,291,239.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.