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Finding the Third Proportional to 205,398 and 306,720

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Solution

The third proportional to 205,398 and 306,720 is: 458,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,398 : 306,720 = 306,720 : x
  2. Step 2: Convert to fraction form
    205,398/306,720 = 306,720/x
  3. Step 3: Cross multiply
    205,398x = 306,720 × 306,720
  4. Step 4: Simplify right side
    205,398x = 94,077,158,400
  5. Step 5: Solve for x
    x = 94,077,158,400/205,398
  6. Step 6: Final answer
    x = 458,023.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.