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Finding the Third Proportional to 182,940 and 400,860

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Solution

The third proportional to 182,940 and 400,860 is: 878,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,940 : 400,860 = 400,860 : x
  2. Step 2: Convert to fraction form
    182,940/400,860 = 400,860/x
  3. Step 3: Cross multiply
    182,940x = 400,860 × 400,860
  4. Step 4: Simplify right side
    182,940x = 160,688,739,600
  5. Step 5: Solve for x
    x = 160,688,739,600/182,940
  6. Step 6: Final answer
    x = 878,368.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.