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Finding the Third Proportional to 124,590.66 and 193,284.56

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Solution

The third proportional to 124,590.66 and 193,284.56 is: 299,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,590.66 : 193,284.56 = 193,284.56 : x
  2. Step 2: Convert to fraction form
    124,590.66/193,284.56 = 193,284.56/x
  3. Step 3: Cross multiply
    124,590.66x = 193,284.56 × 193,284.56
  4. Step 4: Simplify right side
    124,590.66x = 37,358,922,100.82
  5. Step 5: Solve for x
    x = 37,358,922,100.82/124,590.66
  6. Step 6: Final answer
    x = 299,853.32

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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.