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Finding the Third Proportional to 765,235,980.75 and 1,147,654,672.50

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Solution

The third proportional to 765,235,980.75 and 1,147,654,672.50 is: 1,721,183,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,235,980.75 : 1,147,654,672.50 = 1,147,654,672.50 : x
  2. Step 2: Convert to fraction form
    765,235,980.75/1,147,654,672.50 = 1,147,654,672.50/x
  3. Step 3: Cross multiply
    765,235,980.75x = 1,147,654,672.50 × 1,147,654,672.50
  4. Step 4: Simplify right side
    765,235,980.75x = 1,317,111,247,311,082,240
  5. Step 5: Solve for x
    x = 1,317,111,247,311,082,240/765,235,980.75
  6. Step 6: Final answer
    x = 1,721,183,112.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.