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Finding the Third Proportional to 158,357 and 345,118

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Solution

The third proportional to 158,357 and 345,118 is: 752,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,357 : 345,118 = 345,118 : x
  2. Step 2: Convert to fraction form
    158,357/345,118 = 345,118/x
  3. Step 3: Cross multiply
    158,357x = 345,118 × 345,118
  4. Step 4: Simplify right side
    158,357x = 119,106,433,924
  5. Step 5: Solve for x
    x = 119,106,433,924/158,357
  6. Step 6: Final answer
    x = 752,138.74

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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.