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Finding the Third Proportional to 131,810 and 288,708

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Solution

The third proportional to 131,810 and 288,708 is: 632,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,810 : 288,708 = 288,708 : x
  2. Step 2: Convert to fraction form
    131,810/288,708 = 288,708/x
  3. Step 3: Cross multiply
    131,810x = 288,708 × 288,708
  4. Step 4: Simplify right side
    131,810x = 83,352,309,264
  5. Step 5: Solve for x
    x = 83,352,309,264/131,810
  6. Step 6: Final answer
    x = 632,367.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.