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Finding the Third Proportional to 140,295 and 210,605

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Solution

The third proportional to 140,295 and 210,605 is: 316,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,295 : 210,605 = 210,605 : x
  2. Step 2: Convert to fraction form
    140,295/210,605 = 210,605/x
  3. Step 3: Cross multiply
    140,295x = 210,605 × 210,605
  4. Step 4: Simplify right side
    140,295x = 44,354,466,025
  5. Step 5: Solve for x
    x = 44,354,466,025/140,295
  6. Step 6: Final answer
    x = 316,151.44

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