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Finding the Third Proportional to 155,650 and 351,721

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Solution

The third proportional to 155,650 and 351,721 is: 794,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,650 : 351,721 = 351,721 : x
  2. Step 2: Convert to fraction form
    155,650/351,721 = 351,721/x
  3. Step 3: Cross multiply
    155,650x = 351,721 × 351,721
  4. Step 4: Simplify right side
    155,650x = 123,707,661,841
  5. Step 5: Solve for x
    x = 123,707,661,841/155,650
  6. Step 6: Final answer
    x = 794,780.99

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.