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Finding the Third Proportional to 147,018.80 and 216,221.91

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Solution

The third proportional to 147,018.80 and 216,221.91 is: 317,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,018.80 : 216,221.91 = 216,221.91 : x
  2. Step 2: Convert to fraction form
    147,018.80/216,221.91 = 216,221.91/x
  3. Step 3: Cross multiply
    147,018.80x = 216,221.91 × 216,221.91
  4. Step 4: Simplify right side
    147,018.80x = 46,751,912,742.38
  5. Step 5: Solve for x
    x = 46,751,912,742.38/147,018.80
  6. Step 6: Final answer
    x = 317,999.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.