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Finding the Third Proportional to 380,394 and 588,708

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Solution

The third proportional to 380,394 and 588,708 is: 911,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,394 : 588,708 = 588,708 : x
  2. Step 2: Convert to fraction form
    380,394/588,708 = 588,708/x
  3. Step 3: Cross multiply
    380,394x = 588,708 × 588,708
  4. Step 4: Simplify right side
    380,394x = 346,577,109,264
  5. Step 5: Solve for x
    x = 346,577,109,264/380,394
  6. Step 6: Final answer
    x = 911,100.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.