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Finding the Third Proportional to 180,042 and 392,487

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Solution

The third proportional to 180,042 and 392,487 is: 855,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,042 : 392,487 = 392,487 : x
  2. Step 2: Convert to fraction form
    180,042/392,487 = 392,487/x
  3. Step 3: Cross multiply
    180,042x = 392,487 × 392,487
  4. Step 4: Simplify right side
    180,042x = 154,046,045,169
  5. Step 5: Solve for x
    x = 154,046,045,169/180,042
  6. Step 6: Final answer
    x = 855,611.72

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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.