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Finding the Third Proportional to 205,066.69 and 310,333.78

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Solution

The third proportional to 205,066.69 and 310,333.78 is: 469,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,066.69 : 310,333.78 = 310,333.78 : x
  2. Step 2: Convert to fraction form
    205,066.69/310,333.78 = 310,333.78/x
  3. Step 3: Cross multiply
    205,066.69x = 310,333.78 × 310,333.78
  4. Step 4: Simplify right side
    205,066.69x = 96,307,055,784.92
  5. Step 5: Solve for x
    x = 96,307,055,784.92/205,066.69
  6. Step 6: Final answer
    x = 469,637.74

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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.