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Finding the Third Proportional to 480,399 and 747,816

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Solution

The third proportional to 480,399 and 747,816 is: 1,164,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,399 : 747,816 = 747,816 : x
  2. Step 2: Convert to fraction form
    480,399/747,816 = 747,816/x
  3. Step 3: Cross multiply
    480,399x = 747,816 × 747,816
  4. Step 4: Simplify right side
    480,399x = 559,228,769,856
  5. Step 5: Solve for x
    x = 559,228,769,856/480,399
  6. Step 6: Final answer
    x = 1,164,092.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.