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Finding the Third Proportional to 420,006.38 and 987,271.88

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Solution

The third proportional to 420,006.38 and 987,271.88 is: 2,320,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,006.38 : 987,271.88 = 987,271.88 : x
  2. Step 2: Convert to fraction form
    420,006.38/987,271.88 = 987,271.88/x
  3. Step 3: Cross multiply
    420,006.38x = 987,271.88 × 987,271.88
  4. Step 4: Simplify right side
    420,006.38x = 974,705,755,166.02
  5. Step 5: Solve for x
    x = 974,705,755,166.02/420,006.38
  6. Step 6: Final answer
    x = 2,320,692.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.