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Finding the Third Proportional to 159,488 and 345,220

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Solution

The third proportional to 159,488 and 345,220 is: 747,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,488 : 345,220 = 345,220 : x
  2. Step 2: Convert to fraction form
    159,488/345,220 = 345,220/x
  3. Step 3: Cross multiply
    159,488x = 345,220 × 345,220
  4. Step 4: Simplify right side
    159,488x = 119,176,848,400
  5. Step 5: Solve for x
    x = 119,176,848,400/159,488
  6. Step 6: Final answer
    x = 747,246.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.