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Finding the Third Proportional to 140,503 and 210,758

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Solution

The third proportional to 140,503 and 210,758 is: 316,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,503 : 210,758 = 210,758 : x
  2. Step 2: Convert to fraction form
    140,503/210,758 = 210,758/x
  3. Step 3: Cross multiply
    140,503x = 210,758 × 210,758
  4. Step 4: Simplify right side
    140,503x = 44,418,934,564
  5. Step 5: Solve for x
    x = 44,418,934,564/140,503
  6. Step 6: Final answer
    x = 316,142.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.