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Finding the Third Proportional to 428,158 and 666,744

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Solution

The third proportional to 428,158 and 666,744 is: 1,038,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,158 : 666,744 = 666,744 : x
  2. Step 2: Convert to fraction form
    428,158/666,744 = 666,744/x
  3. Step 3: Cross multiply
    428,158x = 666,744 × 666,744
  4. Step 4: Simplify right side
    428,158x = 444,547,561,536
  5. Step 5: Solve for x
    x = 444,547,561,536/428,158
  6. Step 6: Final answer
    x = 1,038,279.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.