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Finding the Third Proportional to 418,878 and 663,582

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Solution

The third proportional to 418,878 and 663,582 is: 1,051,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,878 : 663,582 = 663,582 : x
  2. Step 2: Convert to fraction form
    418,878/663,582 = 663,582/x
  3. Step 3: Cross multiply
    418,878x = 663,582 × 663,582
  4. Step 4: Simplify right side
    418,878x = 440,341,070,724
  5. Step 5: Solve for x
    x = 440,341,070,724/418,878
  6. Step 6: Final answer
    x = 1,051,239.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.