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Finding the Third Proportional to 180,870 and 392,865

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Solution

The third proportional to 180,870 and 392,865 is: 853,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,870 : 392,865 = 392,865 : x
  2. Step 2: Convert to fraction form
    180,870/392,865 = 392,865/x
  3. Step 3: Cross multiply
    180,870x = 392,865 × 392,865
  4. Step 4: Simplify right side
    180,870x = 154,342,908,225
  5. Step 5: Solve for x
    x = 154,342,908,225/180,870
  6. Step 6: Final answer
    x = 853,336.14

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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.