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Finding the Third Proportional to 283,604 and 618,724

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Solution

The third proportional to 283,604 and 618,724 is: 1,349,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,604 : 618,724 = 618,724 : x
  2. Step 2: Convert to fraction form
    283,604/618,724 = 618,724/x
  3. Step 3: Cross multiply
    283,604x = 618,724 × 618,724
  4. Step 4: Simplify right side
    283,604x = 382,819,388,176
  5. Step 5: Solve for x
    x = 382,819,388,176/283,604
  6. Step 6: Final answer
    x = 1,349,837.76

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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.