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Finding the Third Proportional to 220,642.88 and 340,949.81

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Solution

The third proportional to 220,642.88 and 340,949.81 is: 526,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,642.88 : 340,949.81 = 340,949.81 : x
  2. Step 2: Convert to fraction form
    220,642.88/340,949.81 = 340,949.81/x
  3. Step 3: Cross multiply
    220,642.88x = 340,949.81 × 340,949.81
  4. Step 4: Simplify right side
    220,642.88x = 116,246,774,643.79
  5. Step 5: Solve for x
    x = 116,246,774,643.79/220,642.88
  6. Step 6: Final answer
    x = 526,854.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.