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Finding the Third Proportional to 491,690 and 742,031

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Solution

The third proportional to 491,690 and 742,031 is: 1,119,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,690 : 742,031 = 742,031 : x
  2. Step 2: Convert to fraction form
    491,690/742,031 = 742,031/x
  3. Step 3: Cross multiply
    491,690x = 742,031 × 742,031
  4. Step 4: Simplify right side
    491,690x = 550,610,004,961
  5. Step 5: Solve for x
    x = 550,610,004,961/491,690
  6. Step 6: Final answer
    x = 1,119,831.61

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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.