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Finding the Third Proportional to 388,898.72 and 588,781.41

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Solution

The third proportional to 388,898.72 and 588,781.41 is: 891,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,898.72 : 588,781.41 = 588,781.41 : x
  2. Step 2: Convert to fraction form
    388,898.72/588,781.41 = 588,781.41/x
  3. Step 3: Cross multiply
    388,898.72x = 588,781.41 × 588,781.41
  4. Step 4: Simplify right side
    388,898.72x = 346,663,544,345.73
  5. Step 5: Solve for x
    x = 346,663,544,345.73/388,898.72
  6. Step 6: Final answer
    x = 891,398.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.