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Finding the Third Proportional to 331,630 and 710,540

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Solution

The third proportional to 331,630 and 710,540 is: 1,522,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,630 : 710,540 = 710,540 : x
  2. Step 2: Convert to fraction form
    331,630/710,540 = 710,540/x
  3. Step 3: Cross multiply
    331,630x = 710,540 × 710,540
  4. Step 4: Simplify right side
    331,630x = 504,867,091,600
  5. Step 5: Solve for x
    x = 504,867,091,600/331,630
  6. Step 6: Final answer
    x = 1,522,380.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.