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Finding the Third Proportional to 64,951.50 and 139,572.19

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Solution

The third proportional to 64,951.50 and 139,572.19 is: 299,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,951.50 : 139,572.19 = 139,572.19 : x
  2. Step 2: Convert to fraction form
    64,951.50/139,572.19 = 139,572.19/x
  3. Step 3: Cross multiply
    64,951.50x = 139,572.19 × 139,572.19
  4. Step 4: Simplify right side
    64,951.50x = 19,480,395,523.54
  5. Step 5: Solve for x
    x = 19,480,395,523.54/64,951.50
  6. Step 6: Final answer
    x = 299,922.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.