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Finding the Third Proportional to 491,742 and 742,122

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Solution

The third proportional to 491,742 and 742,122 is: 1,119,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,742 : 742,122 = 742,122 : x
  2. Step 2: Convert to fraction form
    491,742/742,122 = 742,122/x
  3. Step 3: Cross multiply
    491,742x = 742,122 × 742,122
  4. Step 4: Simplify right side
    491,742x = 550,745,062,884
  5. Step 5: Solve for x
    x = 550,745,062,884/491,742
  6. Step 6: Final answer
    x = 1,119,987.85

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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.