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Finding the Third Proportional to 308,633.25 and 631,567.13

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Solution

The third proportional to 308,633.25 and 631,567.13 is: 1,292,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,633.25 : 631,567.13 = 631,567.13 : x
  2. Step 2: Convert to fraction form
    308,633.25/631,567.13 = 631,567.13/x
  3. Step 3: Cross multiply
    308,633.25x = 631,567.13 × 631,567.13
  4. Step 4: Simplify right side
    308,633.25x = 398,877,033,380.77
  5. Step 5: Solve for x
    x = 398,877,033,380.77/308,633.25
  6. Step 6: Final answer
    x = 1,292,398.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.