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Finding the Third Proportional to 55,980 and 84,777.75

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Solution

The third proportional to 55,980 and 84,777.75 is: 128,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,980 : 84,777.75 = 84,777.75 : x
  2. Step 2: Convert to fraction form
    55,980/84,777.75 = 84,777.75/x
  3. Step 3: Cross multiply
    55,980x = 84,777.75 × 84,777.75
  4. Step 4: Simplify right side
    55,980x = 7,187,266,895.06
  5. Step 5: Solve for x
    x = 7,187,266,895.06/55,980
  6. Step 6: Final answer
    x = 128,389.91

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1.5x scale

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.