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Finding the Third Proportional to 180,142 and 392,000

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Solution

The third proportional to 180,142 and 392,000 is: 853,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,142 : 392,000 = 392,000 : x
  2. Step 2: Convert to fraction form
    180,142/392,000 = 392,000/x
  3. Step 3: Cross multiply
    180,142x = 392,000 × 392,000
  4. Step 4: Simplify right side
    180,142x = 153,664,000,000
  5. Step 5: Solve for x
    x = 153,664,000,000/180,142
  6. Step 6: Final answer
    x = 853,015.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.