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Finding the Third Proportional to 491,728 and 742,114

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Solution

The third proportional to 491,728 and 742,114 is: 1,119,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,728 : 742,114 = 742,114 : x
  2. Step 2: Convert to fraction form
    491,728/742,114 = 742,114/x
  3. Step 3: Cross multiply
    491,728x = 742,114 × 742,114
  4. Step 4: Simplify right side
    491,728x = 550,733,188,996
  5. Step 5: Solve for x
    x = 550,733,188,996/491,728
  6. Step 6: Final answer
    x = 1,119,995.58

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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.