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Finding the Third Proportional to 8,912.25 and 19,478.25

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Solution

The third proportional to 8,912.25 and 19,478.25 is: 42,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.25 : 19,478.25 = 19,478.25 : x
  2. Step 2: Convert to fraction form
    8,912.25/19,478.25 = 19,478.25/x
  3. Step 3: Cross multiply
    8,912.25x = 19,478.25 × 19,478.25
  4. Step 4: Simplify right side
    8,912.25x = 379,402,223.06
  5. Step 5: Solve for x
    x = 379,402,223.06/8,912.25
  6. Step 6: Final answer
    x = 42,570.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.