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Finding the Third Proportional to 316,249.13 and 489,151.88

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Solution

The third proportional to 316,249.13 and 489,151.88 is: 756,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,249.13 : 489,151.88 = 489,151.88 : x
  2. Step 2: Convert to fraction form
    316,249.13/489,151.88 = 489,151.88/x
  3. Step 3: Cross multiply
    316,249.13x = 489,151.88 × 489,151.88
  4. Step 4: Simplify right side
    316,249.13x = 239,269,556,816.02
  5. Step 5: Solve for x
    x = 239,269,556,816.02/316,249.13
  6. Step 6: Final answer
    x = 756,585.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.