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Finding the Third Proportional to 175,143 and 385,278

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Solution

The third proportional to 175,143 and 385,278 is: 847,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,143 : 385,278 = 385,278 : x
  2. Step 2: Convert to fraction form
    175,143/385,278 = 385,278/x
  3. Step 3: Cross multiply
    175,143x = 385,278 × 385,278
  4. Step 4: Simplify right side
    175,143x = 148,439,137,284
  5. Step 5: Solve for x
    x = 148,439,137,284/175,143
  6. Step 6: Final answer
    x = 847,531.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.