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Finding the Third Proportional to 204,488 and 310,416

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Solution

The third proportional to 204,488 and 310,416 is: 471,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,488 : 310,416 = 310,416 : x
  2. Step 2: Convert to fraction form
    204,488/310,416 = 310,416/x
  3. Step 3: Cross multiply
    204,488x = 310,416 × 310,416
  4. Step 4: Simplify right side
    204,488x = 96,358,093,056
  5. Step 5: Solve for x
    x = 96,358,093,056/204,488
  6. Step 6: Final answer
    x = 471,216.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.