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Finding the Third Proportional to 388,902 and 588,786

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Solution

The third proportional to 388,902 and 588,786 is: 891,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,902 : 588,786 = 588,786 : x
  2. Step 2: Convert to fraction form
    388,902/588,786 = 588,786/x
  3. Step 3: Cross multiply
    388,902x = 588,786 × 588,786
  4. Step 4: Simplify right side
    388,902x = 346,668,953,796
  5. Step 5: Solve for x
    x = 346,668,953,796/388,902
  6. Step 6: Final answer
    x = 891,404.40

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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.