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Finding the Third Proportional to 9,772.50 and 21,117

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Solution

The third proportional to 9,772.50 and 21,117 is: 45,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.50 : 21,117 = 21,117 : x
  2. Step 2: Convert to fraction form
    9,772.50/21,117 = 21,117/x
  3. Step 3: Cross multiply
    9,772.50x = 21,117 × 21,117
  4. Step 4: Simplify right side
    9,772.50x = 445,927,689
  5. Step 5: Solve for x
    x = 445,927,689/9,772.50
  6. Step 6: Final answer
    x = 45,630.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.