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Finding the Third Proportional to 73,215 and 159,309

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Solution

The third proportional to 73,215 and 159,309 is: 346,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,215 : 159,309 = 159,309 : x
  2. Step 2: Convert to fraction form
    73,215/159,309 = 159,309/x
  3. Step 3: Cross multiply
    73,215x = 159,309 × 159,309
  4. Step 4: Simplify right side
    73,215x = 25,379,357,481
  5. Step 5: Solve for x
    x = 25,379,357,481/73,215
  6. Step 6: Final answer
    x = 346,641.50

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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.