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Finding the Third Proportional to 208,612.13 and 387,426.38

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Solution

The third proportional to 208,612.13 and 387,426.38 is: 719,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,612.13 : 387,426.38 = 387,426.38 : x
  2. Step 2: Convert to fraction form
    208,612.13/387,426.38 = 387,426.38/x
  3. Step 3: Cross multiply
    208,612.13x = 387,426.38 × 387,426.38
  4. Step 4: Simplify right side
    208,612.13x = 150,099,196,045.64
  5. Step 5: Solve for x
    x = 150,099,196,045.64/208,612.13
  6. Step 6: Final answer
    x = 719,513.29

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.