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Finding the Third Proportional to 648,510 and 923,814.75

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Solution

The third proportional to 648,510 and 923,814.75 is: 1,315,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,510 : 923,814.75 = 923,814.75 : x
  2. Step 2: Convert to fraction form
    648,510/923,814.75 = 923,814.75/x
  3. Step 3: Cross multiply
    648,510x = 923,814.75 × 923,814.75
  4. Step 4: Simplify right side
    648,510x = 853,433,692,317.56
  5. Step 5: Solve for x
    x = 853,433,692,317.56/648,510
  6. Step 6: Final answer
    x = 1,315,991.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.