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Finding the Third Proportional to 308,149.31 and 665,506.13

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Solution

The third proportional to 308,149.31 and 665,506.13 is: 1,437,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,149.31 : 665,506.13 = 665,506.13 : x
  2. Step 2: Convert to fraction form
    308,149.31/665,506.13 = 665,506.13/x
  3. Step 3: Cross multiply
    308,149.31x = 665,506.13 × 665,506.13
  4. Step 4: Simplify right side
    308,149.31x = 442,898,402,412.52
  5. Step 5: Solve for x
    x = 442,898,402,412.52/308,149.31
  6. Step 6: Final answer
    x = 1,437,285.06

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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.