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Finding the Third Proportional to 198,590 and 432,123

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Solution

The third proportional to 198,590 and 432,123 is: 940,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,590 : 432,123 = 432,123 : x
  2. Step 2: Convert to fraction form
    198,590/432,123 = 432,123/x
  3. Step 3: Cross multiply
    198,590x = 432,123 × 432,123
  4. Step 4: Simplify right side
    198,590x = 186,730,287,129
  5. Step 5: Solve for x
    x = 186,730,287,129/198,590
  6. Step 6: Final answer
    x = 940,280.41

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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.