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Finding the Third Proportional to 155,533 and 320,878

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Solution

The third proportional to 155,533 and 320,878 is: 661,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,533 : 320,878 = 320,878 : x
  2. Step 2: Convert to fraction form
    155,533/320,878 = 320,878/x
  3. Step 3: Cross multiply
    155,533x = 320,878 × 320,878
  4. Step 4: Simplify right side
    155,533x = 102,962,690,884
  5. Step 5: Solve for x
    x = 102,962,690,884/155,533
  6. Step 6: Final answer
    x = 661,999.00

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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.