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Finding the Third Proportional to 204,778 and 310,029

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Solution

The third proportional to 204,778 and 310,029 is: 469,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,778 : 310,029 = 310,029 : x
  2. Step 2: Convert to fraction form
    204,778/310,029 = 310,029/x
  3. Step 3: Cross multiply
    204,778x = 310,029 × 310,029
  4. Step 4: Simplify right side
    204,778x = 96,117,980,841
  5. Step 5: Solve for x
    x = 96,117,980,841/204,778
  6. Step 6: Final answer
    x = 469,376.50

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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.