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Finding the Third Proportional to 198,681 and 432,829

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Solution

The third proportional to 198,681 and 432,829 is: 942,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,681 : 432,829 = 432,829 : x
  2. Step 2: Convert to fraction form
    198,681/432,829 = 432,829/x
  3. Step 3: Cross multiply
    198,681x = 432,829 × 432,829
  4. Step 4: Simplify right side
    198,681x = 187,340,943,241
  5. Step 5: Solve for x
    x = 187,340,943,241/198,681
  6. Step 6: Final answer
    x = 942,923.30

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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.