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Finding the Third Proportional to 223,200.56 and 319,050.56

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Solution

The third proportional to 223,200.56 and 319,050.56 is: 456,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,200.56 : 319,050.56 = 319,050.56 : x
  2. Step 2: Convert to fraction form
    223,200.56/319,050.56 = 319,050.56/x
  3. Step 3: Cross multiply
    223,200.56x = 319,050.56 × 319,050.56
  4. Step 4: Simplify right side
    223,200.56x = 101,793,261,431.57
  5. Step 5: Solve for x
    x = 101,793,261,431.57/223,200.56
  6. Step 6: Final answer
    x = 456,061.85

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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.