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Finding the Third Proportional to 155,977 and 319,346.50

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Solution

The third proportional to 155,977 and 319,346.50 is: 653,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,977 : 319,346.50 = 319,346.50 : x
  2. Step 2: Convert to fraction form
    155,977/319,346.50 = 319,346.50/x
  3. Step 3: Cross multiply
    155,977x = 319,346.50 × 319,346.50
  4. Step 4: Simplify right side
    155,977x = 101,982,187,062.25
  5. Step 5: Solve for x
    x = 101,982,187,062.25/155,977
  6. Step 6: Final answer
    x = 653,828.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.