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Finding the Third Proportional to 388,839.38 and 808,718.06

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Solution

The third proportional to 388,839.38 and 808,718.06 is: 1,681,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,839.38 : 808,718.06 = 808,718.06 : x
  2. Step 2: Convert to fraction form
    388,839.38/808,718.06 = 808,718.06/x
  3. Step 3: Cross multiply
    388,839.38x = 808,718.06 × 808,718.06
  4. Step 4: Simplify right side
    388,839.38x = 654,024,904,613.75
  5. Step 5: Solve for x
    x = 654,024,904,613.75/388,839.38
  6. Step 6: Final answer
    x = 1,681,992.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.