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Finding the Third Proportional to 73,160,306.25 and 170,713,276.50

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Solution

The third proportional to 73,160,306.25 and 170,713,276.50 is: 398,344,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,160,306.25 : 170,713,276.50 = 170,713,276.50 : x
  2. Step 2: Convert to fraction form
    73,160,306.25/170,713,276.50 = 170,713,276.50/x
  3. Step 3: Cross multiply
    73,160,306.25x = 170,713,276.50 × 170,713,276.50
  4. Step 4: Simplify right side
    73,160,306.25x = 29,143,022,773,365,452
  5. Step 5: Solve for x
    x = 29,143,022,773,365,452/73,160,306.25
  6. Step 6: Final answer
    x = 398,344,734.56

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.