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Finding the Third Proportional to 291,120 and 462,920

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Solution

The third proportional to 291,120 and 462,920 is: 736,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,120 : 462,920 = 462,920 : x
  2. Step 2: Convert to fraction form
    291,120/462,920 = 462,920/x
  3. Step 3: Cross multiply
    291,120x = 462,920 × 462,920
  4. Step 4: Simplify right side
    291,120x = 214,294,926,400
  5. Step 5: Solve for x
    x = 214,294,926,400/291,120
  6. Step 6: Final answer
    x = 736,105.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.