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Finding the Third Proportional to 158,458 and 345,348

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Solution

The third proportional to 158,458 and 345,348 is: 752,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,458 : 345,348 = 345,348 : x
  2. Step 2: Convert to fraction form
    158,458/345,348 = 345,348/x
  3. Step 3: Cross multiply
    158,458x = 345,348 × 345,348
  4. Step 4: Simplify right side
    158,458x = 119,265,241,104
  5. Step 5: Solve for x
    x = 119,265,241,104/158,458
  6. Step 6: Final answer
    x = 752,661.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.