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Finding the Third Proportional to 205,720 and 310,767

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Solution

The third proportional to 205,720 and 310,767 is: 469,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,720 : 310,767 = 310,767 : x
  2. Step 2: Convert to fraction form
    205,720/310,767 = 310,767/x
  3. Step 3: Cross multiply
    205,720x = 310,767 × 310,767
  4. Step 4: Simplify right side
    205,720x = 96,576,128,289
  5. Step 5: Solve for x
    x = 96,576,128,289/205,720
  6. Step 6: Final answer
    x = 469,454.25

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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.