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Finding the Third Proportional to 217,435.88 and 440,988.47

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Solution

The third proportional to 217,435.88 and 440,988.47 is: 894,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,435.88 : 440,988.47 = 440,988.47 : x
  2. Step 2: Convert to fraction form
    217,435.88/440,988.47 = 440,988.47/x
  3. Step 3: Cross multiply
    217,435.88x = 440,988.47 × 440,988.47
  4. Step 4: Simplify right side
    217,435.88x = 194,470,829,570.47
  5. Step 5: Solve for x
    x = 194,470,829,570.47/217,435.88
  6. Step 6: Final answer
    x = 894,382.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.