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Finding the Third Proportional to 147,719.25 and 215,120.81

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Solution

The third proportional to 147,719.25 and 215,120.81 is: 313,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,719.25 : 215,120.81 = 215,120.81 : x
  2. Step 2: Convert to fraction form
    147,719.25/215,120.81 = 215,120.81/x
  3. Step 3: Cross multiply
    147,719.25x = 215,120.81 × 215,120.81
  4. Step 4: Simplify right side
    147,719.25x = 46,276,963,970.66
  5. Step 5: Solve for x
    x = 46,276,963,970.66/147,719.25
  6. Step 6: Final answer
    x = 313,276.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.