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Finding the Third Proportional to 208,650 and 313,020

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Solution

The third proportional to 208,650 and 313,020 is: 469,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,650 : 313,020 = 313,020 : x
  2. Step 2: Convert to fraction form
    208,650/313,020 = 313,020/x
  3. Step 3: Cross multiply
    208,650x = 313,020 × 313,020
  4. Step 4: Simplify right side
    208,650x = 97,981,520,400
  5. Step 5: Solve for x
    x = 97,981,520,400/208,650
  6. Step 6: Final answer
    x = 469,597.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.