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Finding the Third Proportional to 324,561 and 499,177.50

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Solution

The third proportional to 324,561 and 499,177.50 is: 767,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,561 : 499,177.50 = 499,177.50 : x
  2. Step 2: Convert to fraction form
    324,561/499,177.50 = 499,177.50/x
  3. Step 3: Cross multiply
    324,561x = 499,177.50 × 499,177.50
  4. Step 4: Simplify right side
    324,561x = 249,178,176,506.25
  5. Step 5: Solve for x
    x = 249,178,176,506.25/324,561
  6. Step 6: Final answer
    x = 767,739.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.