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Finding the Third Proportional to 77,765.25 and 112,401.75

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Solution

The third proportional to 77,765.25 and 112,401.75 is: 162,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,765.25 : 112,401.75 = 112,401.75 : x
  2. Step 2: Convert to fraction form
    77,765.25/112,401.75 = 112,401.75/x
  3. Step 3: Cross multiply
    77,765.25x = 112,401.75 × 112,401.75
  4. Step 4: Simplify right side
    77,765.25x = 12,634,153,403.06
  5. Step 5: Solve for x
    x = 12,634,153,403.06/77,765.25
  6. Step 6: Final answer
    x = 162,465.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.