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Finding the Third Proportional to 135,778 and 297,668

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Solution

The third proportional to 135,778 and 297,668 is: 652,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,778 : 297,668 = 297,668 : x
  2. Step 2: Convert to fraction form
    135,778/297,668 = 297,668/x
  3. Step 3: Cross multiply
    135,778x = 297,668 × 297,668
  4. Step 4: Simplify right side
    135,778x = 88,606,238,224
  5. Step 5: Solve for x
    x = 88,606,238,224/135,778
  6. Step 6: Final answer
    x = 652,581.70

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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.