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Finding the Third Proportional to 78,948 and 150,621.75

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Solution

The third proportional to 78,948 and 150,621.75 is: 287,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,948 : 150,621.75 = 150,621.75 : x
  2. Step 2: Convert to fraction form
    78,948/150,621.75 = 150,621.75/x
  3. Step 3: Cross multiply
    78,948x = 150,621.75 × 150,621.75
  4. Step 4: Simplify right side
    78,948x = 22,686,911,573.06
  5. Step 5: Solve for x
    x = 22,686,911,573.06/78,948
  6. Step 6: Final answer
    x = 287,365.25

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.