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Finding the Third Proportional to 315,282 and 476,191.50

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Solution

The third proportional to 315,282 and 476,191.50 is: 719,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,282 : 476,191.50 = 476,191.50 : x
  2. Step 2: Convert to fraction form
    315,282/476,191.50 = 476,191.50/x
  3. Step 3: Cross multiply
    315,282x = 476,191.50 × 476,191.50
  4. Step 4: Simplify right side
    315,282x = 226,758,344,672.25
  5. Step 5: Solve for x
    x = 226,758,344,672.25/315,282
  6. Step 6: Final answer
    x = 719,223.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.