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Finding the Third Proportional to 139,854.75 and 215,091.28

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Solution

The third proportional to 139,854.75 and 215,091.28 is: 330,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,854.75 : 215,091.28 = 215,091.28 : x
  2. Step 2: Convert to fraction form
    139,854.75/215,091.28 = 215,091.28/x
  3. Step 3: Cross multiply
    139,854.75x = 215,091.28 × 215,091.28
  4. Step 4: Simplify right side
    139,854.75x = 46,264,259,269.77
  5. Step 5: Solve for x
    x = 46,264,259,269.77/139,854.75
  6. Step 6: Final answer
    x = 330,802.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.