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Finding the Third Proportional to 418,756 and 630,438

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Solution

The third proportional to 418,756 and 630,438 is: 949,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,756 : 630,438 = 630,438 : x
  2. Step 2: Convert to fraction form
    418,756/630,438 = 630,438/x
  3. Step 3: Cross multiply
    418,756x = 630,438 × 630,438
  4. Step 4: Simplify right side
    418,756x = 397,452,071,844
  5. Step 5: Solve for x
    x = 397,452,071,844/418,756
  6. Step 6: Final answer
    x = 949,125.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.