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Finding the Third Proportional to 251,707.50 and 490,657.50

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Solution

The third proportional to 251,707.50 and 490,657.50 is: 956,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,707.50 : 490,657.50 = 490,657.50 : x
  2. Step 2: Convert to fraction form
    251,707.50/490,657.50 = 490,657.50/x
  3. Step 3: Cross multiply
    251,707.50x = 490,657.50 × 490,657.50
  4. Step 4: Simplify right side
    251,707.50x = 240,744,782,306.25
  5. Step 5: Solve for x
    x = 240,744,782,306.25/251,707.50
  6. Step 6: Final answer
    x = 956,446.60

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.