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Finding the Third Proportional to 48,910 and 77,742.25

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Solution

The third proportional to 48,910 and 77,742.25 is: 123,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,910 : 77,742.25 = 77,742.25 : x
  2. Step 2: Convert to fraction form
    48,910/77,742.25 = 77,742.25/x
  3. Step 3: Cross multiply
    48,910x = 77,742.25 × 77,742.25
  4. Step 4: Simplify right side
    48,910x = 6,043,857,435.06
  5. Step 5: Solve for x
    x = 6,043,857,435.06/48,910
  6. Step 6: Final answer
    x = 123,571.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.