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Finding the Third Proportional to 155,539 and 320,892

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Solution

The third proportional to 155,539 and 320,892 is: 662,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,539 : 320,892 = 320,892 : x
  2. Step 2: Convert to fraction form
    155,539/320,892 = 320,892/x
  3. Step 3: Cross multiply
    155,539x = 320,892 × 320,892
  4. Step 4: Simplify right side
    155,539x = 102,971,675,664
  5. Step 5: Solve for x
    x = 102,971,675,664/155,539
  6. Step 6: Final answer
    x = 662,031.23

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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.