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Finding the Third Proportional to 205,118 and 314,860

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Solution

The third proportional to 205,118 and 314,860 is: 483,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,118 : 314,860 = 314,860 : x
  2. Step 2: Convert to fraction form
    205,118/314,860 = 314,860/x
  3. Step 3: Cross multiply
    205,118x = 314,860 × 314,860
  4. Step 4: Simplify right side
    205,118x = 99,136,819,600
  5. Step 5: Solve for x
    x = 99,136,819,600/205,118
  6. Step 6: Final answer
    x = 483,316.04

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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.