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Finding the Third Proportional to 9,972 and 21,075.75

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Solution

The third proportional to 9,972 and 21,075.75 is: 44,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 21,075.75 = 21,075.75 : x
  2. Step 2: Convert to fraction form
    9,972/21,075.75 = 21,075.75/x
  3. Step 3: Cross multiply
    9,972x = 21,075.75 × 21,075.75
  4. Step 4: Simplify right side
    9,972x = 444,187,238.06
  5. Step 5: Solve for x
    x = 444,187,238.06/9,972
  6. Step 6: Final answer
    x = 44,543.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.