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Finding the Third Proportional to 388,714.88 and 588,507.75

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Solution

The third proportional to 388,714.88 and 588,507.75 is: 890,990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,714.88 : 588,507.75 = 588,507.75 : x
  2. Step 2: Convert to fraction form
    388,714.88/588,507.75 = 588,507.75/x
  3. Step 3: Cross multiply
    388,714.88x = 588,507.75 × 588,507.75
  4. Step 4: Simplify right side
    388,714.88x = 346,341,371,810.06
  5. Step 5: Solve for x
    x = 346,341,371,810.06/388,714.88
  6. Step 6: Final answer
    x = 890,990.79

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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.