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Finding the Third Proportional to 802,800 and 1,243,728

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Solution

The third proportional to 802,800 and 1,243,728 is: 1,926,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,800 : 1,243,728 = 1,243,728 : x
  2. Step 2: Convert to fraction form
    802,800/1,243,728 = 1,243,728/x
  3. Step 3: Cross multiply
    802,800x = 1,243,728 × 1,243,728
  4. Step 4: Simplify right side
    802,800x = 1,546,859,337,984
  5. Step 5: Solve for x
    x = 1,546,859,337,984/802,800
  6. Step 6: Final answer
    x = 1,926,830.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.