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Finding the Third Proportional to 315,812 and 485,432

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Solution

The third proportional to 315,812 and 485,432 is: 746,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,812 : 485,432 = 485,432 : x
  2. Step 2: Convert to fraction form
    315,812/485,432 = 485,432/x
  3. Step 3: Cross multiply
    315,812x = 485,432 × 485,432
  4. Step 4: Simplify right side
    315,812x = 235,644,226,624
  5. Step 5: Solve for x
    x = 235,644,226,624/315,812
  6. Step 6: Final answer
    x = 746,153.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.