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Finding the Third Proportional to 53,480.25 and 76,393.13

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Solution

The third proportional to 53,480.25 and 76,393.13 is: 109,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,480.25 : 76,393.13 = 76,393.13 : x
  2. Step 2: Convert to fraction form
    53,480.25/76,393.13 = 76,393.13/x
  3. Step 3: Cross multiply
    53,480.25x = 76,393.13 × 76,393.13
  4. Step 4: Simplify right side
    53,480.25x = 5,835,909,547.27
  5. Step 5: Solve for x
    x = 5,835,909,547.27/53,480.25
  6. Step 6: Final answer
    x = 109,122.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.