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Finding the Third Proportional to 393,624 and 858,466

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Solution

The third proportional to 393,624 and 858,466 is: 1,872,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,624 : 858,466 = 858,466 : x
  2. Step 2: Convert to fraction form
    393,624/858,466 = 858,466/x
  3. Step 3: Cross multiply
    393,624x = 858,466 × 858,466
  4. Step 4: Simplify right side
    393,624x = 736,963,873,156
  5. Step 5: Solve for x
    x = 736,963,873,156/393,624
  6. Step 6: Final answer
    x = 1,872,253.40

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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.