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Finding the Third Proportional to 134,320 and 289,624

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Solution

The third proportional to 134,320 and 289,624 is: 624,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,320 : 289,624 = 289,624 : x
  2. Step 2: Convert to fraction form
    134,320/289,624 = 289,624/x
  3. Step 3: Cross multiply
    134,320x = 289,624 × 289,624
  4. Step 4: Simplify right side
    134,320x = 83,882,061,376
  5. Step 5: Solve for x
    x = 83,882,061,376/134,320
  6. Step 6: Final answer
    x = 624,494.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.