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Finding the Third Proportional to 420,891 and 653,050

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Solution

The third proportional to 420,891 and 653,050 is: 1,013,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,891 : 653,050 = 653,050 : x
  2. Step 2: Convert to fraction form
    420,891/653,050 = 653,050/x
  3. Step 3: Cross multiply
    420,891x = 653,050 × 653,050
  4. Step 4: Simplify right side
    420,891x = 426,474,302,500
  5. Step 5: Solve for x
    x = 426,474,302,500/420,891
  6. Step 6: Final answer
    x = 1,013,265.44

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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.