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Finding the Third Proportional to 198,368 and 430,432

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Solution

The third proportional to 198,368 and 430,432 is: 933,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,368 : 430,432 = 430,432 : x
  2. Step 2: Convert to fraction form
    198,368/430,432 = 430,432/x
  3. Step 3: Cross multiply
    198,368x = 430,432 × 430,432
  4. Step 4: Simplify right side
    198,368x = 185,271,706,624
  5. Step 5: Solve for x
    x = 185,271,706,624/198,368
  6. Step 6: Final answer
    x = 933,979.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.