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Finding the Third Proportional to 131,773 and 288,940

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Solution

The third proportional to 131,773 and 288,940 is: 633,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,773 : 288,940 = 288,940 : x
  2. Step 2: Convert to fraction form
    131,773/288,940 = 288,940/x
  3. Step 3: Cross multiply
    131,773x = 288,940 × 288,940
  4. Step 4: Simplify right side
    131,773x = 83,486,323,600
  5. Step 5: Solve for x
    x = 83,486,323,600/131,773
  6. Step 6: Final answer
    x = 633,561.68

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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.