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Finding the Third Proportional to 205,127 and 310,424

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Solution

The third proportional to 205,127 and 310,424 is: 469,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,127 : 310,424 = 310,424 : x
  2. Step 2: Convert to fraction form
    205,127/310,424 = 310,424/x
  3. Step 3: Cross multiply
    205,127x = 310,424 × 310,424
  4. Step 4: Simplify right side
    205,127x = 96,363,059,776
  5. Step 5: Solve for x
    x = 96,363,059,776/205,127
  6. Step 6: Final answer
    x = 469,772.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.