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Finding the Third Proportional to 53,643.20 and 81,155.36

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Solution

The third proportional to 53,643.20 and 81,155.36 is: 122,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,643.20 : 81,155.36 = 81,155.36 : x
  2. Step 2: Convert to fraction form
    53,643.20/81,155.36 = 81,155.36/x
  3. Step 3: Cross multiply
    53,643.20x = 81,155.36 × 81,155.36
  4. Step 4: Simplify right side
    53,643.20x = 6,586,191,721.26
  5. Step 5: Solve for x
    x = 6,586,191,721.26/53,643.20
  6. Step 6: Final answer
    x = 122,777.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.