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Finding the Third Proportional to 4,666.36 and 9,981.98

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Solution

The third proportional to 4,666.36 and 9,981.98 is: 21,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.36 : 9,981.98 = 9,981.98 : x
  2. Step 2: Convert to fraction form
    4,666.36/9,981.98 = 9,981.98/x
  3. Step 3: Cross multiply
    4,666.36x = 9,981.98 × 9,981.98
  4. Step 4: Simplify right side
    4,666.36x = 99,640,012.06
  5. Step 5: Solve for x
    x = 99,640,012.06/4,666.36
  6. Step 6: Final answer
    x = 21,352.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.