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Finding the Third Proportional to 223,220.18 and 319,081.78

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Solution

The third proportional to 223,220.18 and 319,081.78 is: 456,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,220.18 : 319,081.78 = 319,081.78 : x
  2. Step 2: Convert to fraction form
    223,220.18/319,081.78 = 319,081.78/x
  3. Step 3: Cross multiply
    223,220.18x = 319,081.78 × 319,081.78
  4. Step 4: Simplify right side
    223,220.18x = 101,813,183,125.67
  5. Step 5: Solve for x
    x = 101,813,183,125.67/223,220.18
  6. Step 6: Final answer
    x = 456,111.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.