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Finding the Third Proportional to 135,780 and 297,804

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Solution

The third proportional to 135,780 and 297,804 is: 653,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,780 : 297,804 = 297,804 : x
  2. Step 2: Convert to fraction form
    135,780/297,804 = 297,804/x
  3. Step 3: Cross multiply
    135,780x = 297,804 × 297,804
  4. Step 4: Simplify right side
    135,780x = 88,687,222,416
  5. Step 5: Solve for x
    x = 88,687,222,416/135,780
  6. Step 6: Final answer
    x = 653,168.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.