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Finding the Third Proportional to 456,719 and 638,519

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Solution

The third proportional to 456,719 and 638,519 is: 892,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,719 : 638,519 = 638,519 : x
  2. Step 2: Convert to fraction form
    456,719/638,519 = 638,519/x
  3. Step 3: Cross multiply
    456,719x = 638,519 × 638,519
  4. Step 4: Simplify right side
    456,719x = 407,706,513,361
  5. Step 5: Solve for x
    x = 407,706,513,361/456,719
  6. Step 6: Final answer
    x = 892,685.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.