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Finding the Third Proportional to 135,498 and 297,808

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Solution

The third proportional to 135,498 and 297,808 is: 654,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,498 : 297,808 = 297,808 : x
  2. Step 2: Convert to fraction form
    135,498/297,808 = 297,808/x
  3. Step 3: Cross multiply
    135,498x = 297,808 × 297,808
  4. Step 4: Simplify right side
    135,498x = 88,689,604,864
  5. Step 5: Solve for x
    x = 88,689,604,864/135,498
  6. Step 6: Final answer
    x = 654,545.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.