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Finding the Third Proportional to 47,160.56 and 101,069.44

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Solution

The third proportional to 47,160.56 and 101,069.44 is: 216,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,160.56 : 101,069.44 = 101,069.44 : x
  2. Step 2: Convert to fraction form
    47,160.56/101,069.44 = 101,069.44/x
  3. Step 3: Cross multiply
    47,160.56x = 101,069.44 × 101,069.44
  4. Step 4: Simplify right side
    47,160.56x = 10,215,031,196.57
  5. Step 5: Solve for x
    x = 10,215,031,196.57/47,160.56
  6. Step 6: Final answer
    x = 216,601.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.