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Finding the Third Proportional to 109,284.19 and 155,751.19

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Solution

The third proportional to 109,284.19 and 155,751.19 is: 221,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,284.19 : 155,751.19 = 155,751.19 : x
  2. Step 2: Convert to fraction form
    109,284.19/155,751.19 = 155,751.19/x
  3. Step 3: Cross multiply
    109,284.19x = 155,751.19 × 155,751.19
  4. Step 4: Simplify right side
    109,284.19x = 24,258,432,407.66
  5. Step 5: Solve for x
    x = 24,258,432,407.66/109,284.19
  6. Step 6: Final answer
    x = 221,975.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.