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Finding the Third Proportional to 105,508 and 244,041.50

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Solution

The third proportional to 105,508 and 244,041.50 is: 564,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,508 : 244,041.50 = 244,041.50 : x
  2. Step 2: Convert to fraction form
    105,508/244,041.50 = 244,041.50/x
  3. Step 3: Cross multiply
    105,508x = 244,041.50 × 244,041.50
  4. Step 4: Simplify right side
    105,508x = 59,556,253,722.25
  5. Step 5: Solve for x
    x = 59,556,253,722.25/105,508
  6. Step 6: Final answer
    x = 564,471.45

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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.