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Finding the Third Proportional to 45,220.78 and 64,915.17

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Solution

The third proportional to 45,220.78 and 64,915.17 is: 93,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,220.78 : 64,915.17 = 64,915.17 : x
  2. Step 2: Convert to fraction form
    45,220.78/64,915.17 = 64,915.17/x
  3. Step 3: Cross multiply
    45,220.78x = 64,915.17 × 64,915.17
  4. Step 4: Simplify right side
    45,220.78x = 4,213,979,539.56
  5. Step 5: Solve for x
    x = 4,213,979,539.56/45,220.78
  6. Step 6: Final answer
    x = 93,186.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.