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Finding the Third Proportional to 786,143,490.75 and 1,233,120,412.50

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Solution

The third proportional to 786,143,490.75 and 1,233,120,412.50 is: 1,934,234,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,143,490.75 : 1,233,120,412.50 = 1,233,120,412.50 : x
  2. Step 2: Convert to fraction form
    786,143,490.75/1,233,120,412.50 = 1,233,120,412.50/x
  3. Step 3: Cross multiply
    786,143,490.75x = 1,233,120,412.50 × 1,233,120,412.50
  4. Step 4: Simplify right side
    786,143,490.75x = 1,520,585,951,724,170,240
  5. Step 5: Solve for x
    x = 1,520,585,951,724,170,240/786,143,490.75
  6. Step 6: Final answer
    x = 1,934,234,614.44

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.