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Finding the Third Proportional to 280,414,713.38 and 649,109,288.25

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Solution

The third proportional to 280,414,713.38 and 649,109,288.25 is: 1,502,570,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,414,713.38 : 649,109,288.25 = 649,109,288.25 : x
  2. Step 2: Convert to fraction form
    280,414,713.38/649,109,288.25 = 649,109,288.25/x
  3. Step 3: Cross multiply
    280,414,713.38x = 649,109,288.25 × 649,109,288.25
  4. Step 4: Simplify right side
    280,414,713.38x = 421,342,868,092,421,568
  5. Step 5: Solve for x
    x = 421,342,868,092,421,568/280,414,713.38
  6. Step 6: Final answer
    x = 1,502,570,471.50

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.