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Finding the Third Proportional to 403,598 and 878,134

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Solution

The third proportional to 403,598 and 878,134 is: 1,910,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,598 : 878,134 = 878,134 : x
  2. Step 2: Convert to fraction form
    403,598/878,134 = 878,134/x
  3. Step 3: Cross multiply
    403,598x = 878,134 × 878,134
  4. Step 4: Simplify right side
    403,598x = 771,119,321,956
  5. Step 5: Solve for x
    x = 771,119,321,956/403,598
  6. Step 6: Final answer
    x = 1,910,612.35

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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.