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Finding the Third Proportional to 56,022.75 and 77,040

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Solution

The third proportional to 56,022.75 and 77,040 is: 105,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,022.75 : 77,040 = 77,040 : x
  2. Step 2: Convert to fraction form
    56,022.75/77,040 = 77,040/x
  3. Step 3: Cross multiply
    56,022.75x = 77,040 × 77,040
  4. Step 4: Simplify right side
    56,022.75x = 5,935,161,600
  5. Step 5: Solve for x
    x = 5,935,161,600/56,022.75
  6. Step 6: Final answer
    x = 105,941.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.