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Finding the Third Proportional to 403,600 and 878,142

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Solution

The third proportional to 403,600 and 878,142 is: 1,910,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,600 : 878,142 = 878,142 : x
  2. Step 2: Convert to fraction form
    403,600/878,142 = 878,142/x
  3. Step 3: Cross multiply
    403,600x = 878,142 × 878,142
  4. Step 4: Simplify right side
    403,600x = 771,133,372,164
  5. Step 5: Solve for x
    x = 771,133,372,164/403,600
  6. Step 6: Final answer
    x = 1,910,637.69

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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.