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Finding the Third Proportional to 380,391 and 588,681

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Solution

The third proportional to 380,391 and 588,681 is: 911,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,391 : 588,681 = 588,681 : x
  2. Step 2: Convert to fraction form
    380,391/588,681 = 588,681/x
  3. Step 3: Cross multiply
    380,391x = 588,681 × 588,681
  4. Step 4: Simplify right side
    380,391x = 346,545,319,761
  5. Step 5: Solve for x
    x = 346,545,319,761/380,391
  6. Step 6: Final answer
    x = 911,023.97

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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.