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Finding the Third Proportional to 690,231,036 and 970,856,040

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Solution

The third proportional to 690,231,036 and 970,856,040 is: 1,365,573,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,231,036 : 970,856,040 = 970,856,040 : x
  2. Step 2: Convert to fraction form
    690,231,036/970,856,040 = 970,856,040/x
  3. Step 3: Cross multiply
    690,231,036x = 970,856,040 × 970,856,040
  4. Step 4: Simplify right side
    690,231,036x = 942,561,450,404,481,536
  5. Step 5: Solve for x
    x = 942,561,450,404,481,536/690,231,036
  6. Step 6: Final answer
    x = 1,365,573,845.92

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Why These Related Problems?

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