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Finding the Third Proportional to 155,542 and 320,896

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Solution

The third proportional to 155,542 and 320,896 is: 662,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,542 : 320,896 = 320,896 : x
  2. Step 2: Convert to fraction form
    155,542/320,896 = 320,896/x
  3. Step 3: Cross multiply
    155,542x = 320,896 × 320,896
  4. Step 4: Simplify right side
    155,542x = 102,974,242,816
  5. Step 5: Solve for x
    x = 102,974,242,816/155,542
  6. Step 6: Final answer
    x = 662,034.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.