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Finding the Third Proportional to 76,786,233.75 and 108,650,166.75

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Solution

The third proportional to 76,786,233.75 and 108,650,166.75 is: 153,736,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,786,233.75 : 108,650,166.75 = 108,650,166.75 : x
  2. Step 2: Convert to fraction form
    76,786,233.75/108,650,166.75 = 108,650,166.75/x
  3. Step 3: Cross multiply
    76,786,233.75x = 108,650,166.75 × 108,650,166.75
  4. Step 4: Simplify right side
    76,786,233.75x = 11,804,858,734,802,806
  5. Step 5: Solve for x
    x = 11,804,858,734,802,806/76,786,233.75
  6. Step 6: Final answer
    x = 153,736,655.10

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.