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Finding the Third Proportional to 198,784.13 and 430,980.75

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Solution

The third proportional to 198,784.13 and 430,980.75 is: 934,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,784.13 : 430,980.75 = 430,980.75 : x
  2. Step 2: Convert to fraction form
    198,784.13/430,980.75 = 430,980.75/x
  3. Step 3: Cross multiply
    198,784.13x = 430,980.75 × 430,980.75
  4. Step 4: Simplify right side
    198,784.13x = 185,744,406,870.56
  5. Step 5: Solve for x
    x = 185,744,406,870.56/198,784.13
  6. Step 6: Final answer
    x = 934,402.62

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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.