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Finding the Third Proportional to 331,280 and 715,012

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Solution

The third proportional to 331,280 and 715,012 is: 1,543,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,280 : 715,012 = 715,012 : x
  2. Step 2: Convert to fraction form
    331,280/715,012 = 715,012/x
  3. Step 3: Cross multiply
    331,280x = 715,012 × 715,012
  4. Step 4: Simplify right side
    331,280x = 511,242,160,144
  5. Step 5: Solve for x
    x = 511,242,160,144/331,280
  6. Step 6: Final answer
    x = 1,543,232.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.