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Finding the Third Proportional to 151,411.78 and 220,070.67

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Solution

The third proportional to 151,411.78 and 220,070.67 is: 319,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,411.78 : 220,070.67 = 220,070.67 : x
  2. Step 2: Convert to fraction form
    151,411.78/220,070.67 = 220,070.67/x
  3. Step 3: Cross multiply
    151,411.78x = 220,070.67 × 220,070.67
  4. Step 4: Simplify right side
    151,411.78x = 48,431,100,619.51
  5. Step 5: Solve for x
    x = 48,431,100,619.51/151,411.78
  6. Step 6: Final answer
    x = 319,863.49

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.