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Finding the Third Proportional to 270,884 and 420,020

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Solution

The third proportional to 270,884 and 420,020 is: 651,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,884 : 420,020 = 420,020 : x
  2. Step 2: Convert to fraction form
    270,884/420,020 = 420,020/x
  3. Step 3: Cross multiply
    270,884x = 420,020 × 420,020
  4. Step 4: Simplify right side
    270,884x = 176,416,800,400
  5. Step 5: Solve for x
    x = 176,416,800,400/270,884
  6. Step 6: Final answer
    x = 651,263.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.