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Finding the Third Proportional to 438,891.75 and 688,663.69

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Solution

The third proportional to 438,891.75 and 688,663.69 is: 1,080,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,891.75 : 688,663.69 = 688,663.69 : x
  2. Step 2: Convert to fraction form
    438,891.75/688,663.69 = 688,663.69/x
  3. Step 3: Cross multiply
    438,891.75x = 688,663.69 × 688,663.69
  4. Step 4: Simplify right side
    438,891.75x = 474,257,674,481.10
  5. Step 5: Solve for x
    x = 474,257,674,481.10/438,891.75
  6. Step 6: Final answer
    x = 1,080,580.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.