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Finding the Third Proportional to 198,981 and 429,484

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Solution

The third proportional to 198,981 and 429,484 is: 927,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,981 : 429,484 = 429,484 : x
  2. Step 2: Convert to fraction form
    198,981/429,484 = 429,484/x
  3. Step 3: Cross multiply
    198,981x = 429,484 × 429,484
  4. Step 4: Simplify right side
    198,981x = 184,456,506,256
  5. Step 5: Solve for x
    x = 184,456,506,256/198,981
  6. Step 6: Final answer
    x = 927,005.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.