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Finding the Third Proportional to 65,516 and 98,815

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Solution

The third proportional to 65,516 and 98,815 is: 149,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,516 : 98,815 = 98,815 : x
  2. Step 2: Convert to fraction form
    65,516/98,815 = 98,815/x
  3. Step 3: Cross multiply
    65,516x = 98,815 × 98,815
  4. Step 4: Simplify right side
    65,516x = 9,764,404,225
  5. Step 5: Solve for x
    x = 9,764,404,225/65,516
  6. Step 6: Final answer
    x = 149,038.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.