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Finding the Third Proportional to 315,820 and 485,441

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Solution

The third proportional to 315,820 and 485,441 is: 746,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,820 : 485,441 = 485,441 : x
  2. Step 2: Convert to fraction form
    315,820/485,441 = 485,441/x
  3. Step 3: Cross multiply
    315,820x = 485,441 × 485,441
  4. Step 4: Simplify right side
    315,820x = 235,652,964,481
  5. Step 5: Solve for x
    x = 235,652,964,481/315,820
  6. Step 6: Final answer
    x = 746,162.26

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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.