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Finding the Third Proportional to 259,312 and 344,652

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Solution

The third proportional to 259,312 and 344,652 is: 458,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,312 : 344,652 = 344,652 : x
  2. Step 2: Convert to fraction form
    259,312/344,652 = 344,652/x
  3. Step 3: Cross multiply
    259,312x = 344,652 × 344,652
  4. Step 4: Simplify right side
    259,312x = 118,785,001,104
  5. Step 5: Solve for x
    x = 118,785,001,104/259,312
  6. Step 6: Final answer
    x = 458,077.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.