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Finding the Third Proportional to 666,103.50 and 902,927.25

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Solution

The third proportional to 666,103.50 and 902,927.25 is: 1,223,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,103.50 : 902,927.25 = 902,927.25 : x
  2. Step 2: Convert to fraction form
    666,103.50/902,927.25 = 902,927.25/x
  3. Step 3: Cross multiply
    666,103.50x = 902,927.25 × 902,927.25
  4. Step 4: Simplify right side
    666,103.50x = 815,277,618,792.56
  5. Step 5: Solve for x
    x = 815,277,618,792.56/666,103.50
  6. Step 6: Final answer
    x = 1,223,950.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.