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Finding the Third Proportional to 149,886 and 310,337

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Solution

The third proportional to 149,886 and 310,337 is: 642,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,886 : 310,337 = 310,337 : x
  2. Step 2: Convert to fraction form
    149,886/310,337 = 310,337/x
  3. Step 3: Cross multiply
    149,886x = 310,337 × 310,337
  4. Step 4: Simplify right side
    149,886x = 96,309,053,569
  5. Step 5: Solve for x
    x = 96,309,053,569/149,886
  6. Step 6: Final answer
    x = 642,548.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.