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Finding the Third Proportional to 180,390.38 and 392,178.38

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Solution

The third proportional to 180,390.38 and 392,178.38 is: 852,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,390.38 : 392,178.38 = 392,178.38 : x
  2. Step 2: Convert to fraction form
    180,390.38/392,178.38 = 392,178.38/x
  3. Step 3: Cross multiply
    180,390.38x = 392,178.38 × 392,178.38
  4. Step 4: Simplify right side
    180,390.38x = 153,803,877,817.64
  5. Step 5: Solve for x
    x = 153,803,877,817.64/180,390.38
  6. Step 6: Final answer
    x = 852,616.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.