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Finding the Third Proportional to 78,179,285.25 and 169,972,647.75

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Solution

The third proportional to 78,179,285.25 and 169,972,647.75 is: 369,544,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,179,285.25 : 169,972,647.75 = 169,972,647.75 : x
  2. Step 2: Convert to fraction form
    78,179,285.25/169,972,647.75 = 169,972,647.75/x
  3. Step 3: Cross multiply
    78,179,285.25x = 169,972,647.75 × 169,972,647.75
  4. Step 4: Simplify right side
    78,179,285.25x = 28,890,700,983,145,580
  5. Step 5: Solve for x
    x = 28,890,700,983,145,580/78,179,285.25
  6. Step 6: Final answer
    x = 369,544,194.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.