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Finding the Third Proportional to 21,782.25 and 47,720.81

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Solution

The third proportional to 21,782.25 and 47,720.81 is: 104,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.25 : 47,720.81 = 47,720.81 : x
  2. Step 2: Convert to fraction form
    21,782.25/47,720.81 = 47,720.81/x
  3. Step 3: Cross multiply
    21,782.25x = 47,720.81 × 47,720.81
  4. Step 4: Simplify right side
    21,782.25x = 2,277,275,945.66
  5. Step 5: Solve for x
    x = 2,277,275,945.66/21,782.25
  6. Step 6: Final answer
    x = 104,547.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.