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Finding the Third Proportional to 21,125.25 and 45,899.75

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Solution

The third proportional to 21,125.25 and 45,899.75 is: 99,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,125.25 : 45,899.75 = 45,899.75 : x
  2. Step 2: Convert to fraction form
    21,125.25/45,899.75 = 45,899.75/x
  3. Step 3: Cross multiply
    21,125.25x = 45,899.75 × 45,899.75
  4. Step 4: Simplify right side
    21,125.25x = 2,106,787,050.06
  5. Step 5: Solve for x
    x = 2,106,787,050.06/21,125.25
  6. Step 6: Final answer
    x = 99,728.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.