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Finding the Third Proportional to 67,128.75 and 155,178.28

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Solution

The third proportional to 67,128.75 and 155,178.28 is: 358,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,128.75 : 155,178.28 = 155,178.28 : x
  2. Step 2: Convert to fraction form
    67,128.75/155,178.28 = 155,178.28/x
  3. Step 3: Cross multiply
    67,128.75x = 155,178.28 × 155,178.28
  4. Step 4: Simplify right side
    67,128.75x = 24,080,298,971.70
  5. Step 5: Solve for x
    x = 24,080,298,971.70/67,128.75
  6. Step 6: Final answer
    x = 358,718.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.