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Finding the Third Proportional to 198,681.75 and 432,831

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Solution

The third proportional to 198,681.75 and 432,831 is: 942,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,681.75 : 432,831 = 432,831 : x
  2. Step 2: Convert to fraction form
    198,681.75/432,831 = 432,831/x
  3. Step 3: Cross multiply
    198,681.75x = 432,831 × 432,831
  4. Step 4: Simplify right side
    198,681.75x = 187,342,674,561
  5. Step 5: Solve for x
    x = 187,342,674,561/198,681.75
  6. Step 6: Final answer
    x = 942,928.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.