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Finding the Third Proportional to 107,880.40 and 161,820.70

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Solution

The third proportional to 107,880.40 and 161,820.70 is: 242,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,880.40 : 161,820.70 = 161,820.70 : x
  2. Step 2: Convert to fraction form
    107,880.40/161,820.70 = 161,820.70/x
  3. Step 3: Cross multiply
    107,880.40x = 161,820.70 × 161,820.70
  4. Step 4: Simplify right side
    107,880.40x = 26,185,939,959.87
  5. Step 5: Solve for x
    x = 26,185,939,959.87/107,880.40
  6. Step 6: Final answer
    x = 242,731.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.