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Finding the Third Proportional to 284,064 and 618,972

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Solution

The third proportional to 284,064 and 618,972 is: 1,348,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,064 : 618,972 = 618,972 : x
  2. Step 2: Convert to fraction form
    284,064/618,972 = 618,972/x
  3. Step 3: Cross multiply
    284,064x = 618,972 × 618,972
  4. Step 4: Simplify right side
    284,064x = 383,126,336,784
  5. Step 5: Solve for x
    x = 383,126,336,784/284,064
  6. Step 6: Final answer
    x = 1,348,732.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.