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Finding the Third Proportional to 297,088 and 618,652

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Solution

The third proportional to 297,088 and 618,652 is: 1,288,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,088 : 618,652 = 618,652 : x
  2. Step 2: Convert to fraction form
    297,088/618,652 = 618,652/x
  3. Step 3: Cross multiply
    297,088x = 618,652 × 618,652
  4. Step 4: Simplify right side
    297,088x = 382,730,297,104
  5. Step 5: Solve for x
    x = 382,730,297,104/297,088
  6. Step 6: Final answer
    x = 1,288,272.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.