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Finding the Third Proportional to 270,469.13 and 428,281.88

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Solution

The third proportional to 270,469.13 and 428,281.88 is: 678,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,469.13 : 428,281.88 = 428,281.88 : x
  2. Step 2: Convert to fraction form
    270,469.13/428,281.88 = 428,281.88/x
  3. Step 3: Cross multiply
    270,469.13x = 428,281.88 × 428,281.88
  4. Step 4: Simplify right side
    270,469.13x = 183,425,364,453.52
  5. Step 5: Solve for x
    x = 183,425,364,453.52/270,469.13
  6. Step 6: Final answer
    x = 678,174.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.