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Finding the Third Proportional to 205,226 and 315,237

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Solution

The third proportional to 205,226 and 315,237 is: 484,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,226 : 315,237 = 315,237 : x
  2. Step 2: Convert to fraction form
    205,226/315,237 = 315,237/x
  3. Step 3: Cross multiply
    205,226x = 315,237 × 315,237
  4. Step 4: Simplify right side
    205,226x = 99,374,366,169
  5. Step 5: Solve for x
    x = 99,374,366,169/205,226
  6. Step 6: Final answer
    x = 484,219.18

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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.