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Finding the Third Proportional to 198,520 and 432,733

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Solution

The third proportional to 198,520 and 432,733 is: 943,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,520 : 432,733 = 432,733 : x
  2. Step 2: Convert to fraction form
    198,520/432,733 = 432,733/x
  3. Step 3: Cross multiply
    198,520x = 432,733 × 432,733
  4. Step 4: Simplify right side
    198,520x = 187,257,849,289
  5. Step 5: Solve for x
    x = 187,257,849,289/198,520
  6. Step 6: Final answer
    x = 943,269.44

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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.