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Finding the Third Proportional to 198,290 and 432,301

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Solution

The third proportional to 198,290 and 432,301 is: 942,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,290 : 432,301 = 432,301 : x
  2. Step 2: Convert to fraction form
    198,290/432,301 = 432,301/x
  3. Step 3: Cross multiply
    198,290x = 432,301 × 432,301
  4. Step 4: Simplify right side
    198,290x = 186,884,154,601
  5. Step 5: Solve for x
    x = 186,884,154,601/198,290
  6. Step 6: Final answer
    x = 942,478.97

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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.