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Finding the Third Proportional to 681,612 and 1,069,471.50

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Solution

The third proportional to 681,612 and 1,069,471.50 is: 1,678,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,612 : 1,069,471.50 = 1,069,471.50 : x
  2. Step 2: Convert to fraction form
    681,612/1,069,471.50 = 1,069,471.50/x
  3. Step 3: Cross multiply
    681,612x = 1,069,471.50 × 1,069,471.50
  4. Step 4: Simplify right side
    681,612x = 1,143,769,289,312.25
  5. Step 5: Solve for x
    x = 1,143,769,289,312.25/681,612
  6. Step 6: Final answer
    x = 1,678,035.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.