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Finding the Third Proportional to 193,413.38 and 420,451.88

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Solution

The third proportional to 193,413.38 and 420,451.88 is: 913,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,413.38 : 420,451.88 = 420,451.88 : x
  2. Step 2: Convert to fraction form
    193,413.38/420,451.88 = 420,451.88/x
  3. Step 3: Cross multiply
    193,413.38x = 420,451.88 × 420,451.88
  4. Step 4: Simplify right side
    193,413.38x = 176,779,779,191.02
  5. Step 5: Solve for x
    x = 176,779,779,191.02/193,413.38
  6. Step 6: Final answer
    x = 913,999.76

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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.