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Finding the Third Proportional to 299,700 and 654,624

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Solution

The third proportional to 299,700 and 654,624 is: 1,429,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,700 : 654,624 = 654,624 : x
  2. Step 2: Convert to fraction form
    299,700/654,624 = 654,624/x
  3. Step 3: Cross multiply
    299,700x = 654,624 × 654,624
  4. Step 4: Simplify right side
    299,700x = 428,532,581,376
  5. Step 5: Solve for x
    x = 428,532,581,376/299,700
  6. Step 6: Final answer
    x = 1,429,871.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.