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Finding the Third Proportional to 155,618.72 and 319,712.06

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Solution

The third proportional to 155,618.72 and 319,712.06 is: 656,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,618.72 : 319,712.06 = 319,712.06 : x
  2. Step 2: Convert to fraction form
    155,618.72/319,712.06 = 319,712.06/x
  3. Step 3: Cross multiply
    155,618.72x = 319,712.06 × 319,712.06
  4. Step 4: Simplify right side
    155,618.72x = 102,215,802,908.00
  5. Step 5: Solve for x
    x = 102,215,802,908.00/155,618.72
  6. Step 6: Final answer
    x = 656,834.88

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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.