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Finding the Third Proportional to 428,279.91 and 602,579.25

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Solution

The third proportional to 428,279.91 and 602,579.25 is: 847,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,279.91 : 602,579.25 = 602,579.25 : x
  2. Step 2: Convert to fraction form
    428,279.91/602,579.25 = 602,579.25/x
  3. Step 3: Cross multiply
    428,279.91x = 602,579.25 × 602,579.25
  4. Step 4: Simplify right side
    428,279.91x = 363,101,752,530.56
  5. Step 5: Solve for x
    x = 363,101,752,530.56/428,279.91
  6. Step 6: Final answer
    x = 847,814.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.