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Finding the Third Proportional to 243,388 and 534,728

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Solution

The third proportional to 243,388 and 534,728 is: 1,174,807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,388 : 534,728 = 534,728 : x
  2. Step 2: Convert to fraction form
    243,388/534,728 = 534,728/x
  3. Step 3: Cross multiply
    243,388x = 534,728 × 534,728
  4. Step 4: Simplify right side
    243,388x = 285,934,033,984
  5. Step 5: Solve for x
    x = 285,934,033,984/243,388
  6. Step 6: Final answer
    x = 1,174,807.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.