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Finding the Third Proportional to 390,284 and 588,500

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Solution

The third proportional to 390,284 and 588,500 is: 887,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,284 : 588,500 = 588,500 : x
  2. Step 2: Convert to fraction form
    390,284/588,500 = 588,500/x
  3. Step 3: Cross multiply
    390,284x = 588,500 × 588,500
  4. Step 4: Simplify right side
    390,284x = 346,332,250,000
  5. Step 5: Solve for x
    x = 346,332,250,000/390,284
  6. Step 6: Final answer
    x = 887,385.21

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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.