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Finding the Third Proportional to 205,282 and 315,124

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Solution

The third proportional to 205,282 and 315,124 is: 483,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,282 : 315,124 = 315,124 : x
  2. Step 2: Convert to fraction form
    205,282/315,124 = 315,124/x
  3. Step 3: Cross multiply
    205,282x = 315,124 × 315,124
  4. Step 4: Simplify right side
    205,282x = 99,303,135,376
  5. Step 5: Solve for x
    x = 99,303,135,376/205,282
  6. Step 6: Final answer
    x = 483,740.10

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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.