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Finding the Third Proportional to 20,810.25 and 45,316.13

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Solution

The third proportional to 20,810.25 and 45,316.13 is: 98,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.25 : 45,316.13 = 45,316.13 : x
  2. Step 2: Convert to fraction form
    20,810.25/45,316.13 = 45,316.13/x
  3. Step 3: Cross multiply
    20,810.25x = 45,316.13 × 45,316.13
  4. Step 4: Simplify right side
    20,810.25x = 2,053,551,185.02
  5. Step 5: Solve for x
    x = 2,053,551,185.02/20,810.25
  6. Step 6: Final answer
    x = 98,679.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.