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Finding the Third Proportional to 55,275 and 129,929.63

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Solution

The third proportional to 55,275 and 129,929.63 is: 305,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,275 : 129,929.63 = 129,929.63 : x
  2. Step 2: Convert to fraction form
    55,275/129,929.63 = 129,929.63/x
  3. Step 3: Cross multiply
    55,275x = 129,929.63 × 129,929.63
  4. Step 4: Simplify right side
    55,275x = 16,881,707,452.64
  5. Step 5: Solve for x
    x = 16,881,707,452.64/55,275
  6. Step 6: Final answer
    x = 305,413.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.