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Finding the Third Proportional to 205,232 and 315,248

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Solution

The third proportional to 205,232 and 315,248 is: 484,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,232 : 315,248 = 315,248 : x
  2. Step 2: Convert to fraction form
    205,232/315,248 = 315,248/x
  3. Step 3: Cross multiply
    205,232x = 315,248 × 315,248
  4. Step 4: Simplify right side
    205,232x = 99,381,301,504
  5. Step 5: Solve for x
    x = 99,381,301,504/205,232
  6. Step 6: Final answer
    x = 484,238.82

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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.