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Finding the Third Proportional to 283,616 and 618,748

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Solution

The third proportional to 283,616 and 618,748 is: 1,349,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,616 : 618,748 = 618,748 : x
  2. Step 2: Convert to fraction form
    283,616/618,748 = 618,748/x
  3. Step 3: Cross multiply
    283,616x = 618,748 × 618,748
  4. Step 4: Simplify right side
    283,616x = 382,849,087,504
  5. Step 5: Solve for x
    x = 382,849,087,504/283,616
  6. Step 6: Final answer
    x = 1,349,885.36

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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.