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Finding the Third Proportional to 175,639 and 378,926

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Solution

The third proportional to 175,639 and 378,926 is: 817,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,639 : 378,926 = 378,926 : x
  2. Step 2: Convert to fraction form
    175,639/378,926 = 378,926/x
  3. Step 3: Cross multiply
    175,639x = 378,926 × 378,926
  4. Step 4: Simplify right side
    175,639x = 143,584,913,476
  5. Step 5: Solve for x
    x = 143,584,913,476/175,639
  6. Step 6: Final answer
    x = 817,500.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.