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Finding the Third Proportional to 139,411.13 and 221,572.69

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Solution

The third proportional to 139,411.13 and 221,572.69 is: 352,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,411.13 : 221,572.69 = 221,572.69 : x
  2. Step 2: Convert to fraction form
    139,411.13/221,572.69 = 221,572.69/x
  3. Step 3: Cross multiply
    139,411.13x = 221,572.69 × 221,572.69
  4. Step 4: Simplify right side
    139,411.13x = 49,094,455,845.97
  5. Step 5: Solve for x
    x = 49,094,455,845.97/139,411.13
  6. Step 6: Final answer
    x = 352,155.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.