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Finding the Third Proportional to 77,058 and 112,920.75

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Solution

The third proportional to 77,058 and 112,920.75 is: 165,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,058 : 112,920.75 = 112,920.75 : x
  2. Step 2: Convert to fraction form
    77,058/112,920.75 = 112,920.75/x
  3. Step 3: Cross multiply
    77,058x = 112,920.75 × 112,920.75
  4. Step 4: Simplify right side
    77,058x = 12,751,095,780.56
  5. Step 5: Solve for x
    x = 12,751,095,780.56/77,058
  6. Step 6: Final answer
    x = 165,474.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.