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Finding the Third Proportional to 9,980.09 and 21,177.07

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Solution

The third proportional to 9,980.09 and 21,177.07 is: 44,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.09 : 21,177.07 = 21,177.07 : x
  2. Step 2: Convert to fraction form
    9,980.09/21,177.07 = 21,177.07/x
  3. Step 3: Cross multiply
    9,980.09x = 21,177.07 × 21,177.07
  4. Step 4: Simplify right side
    9,980.09x = 448,468,307.02
  5. Step 5: Solve for x
    x = 448,468,307.02/9,980.09
  6. Step 6: Final answer
    x = 44,936.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.