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Finding the Third Proportional to 420,423 and 987,009

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Solution

The third proportional to 420,423 and 987,009 is: 2,317,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,423 : 987,009 = 987,009 : x
  2. Step 2: Convert to fraction form
    420,423/987,009 = 987,009/x
  3. Step 3: Cross multiply
    420,423x = 987,009 × 987,009
  4. Step 4: Simplify right side
    420,423x = 974,186,766,081
  5. Step 5: Solve for x
    x = 974,186,766,081/420,423
  6. Step 6: Final answer
    x = 2,317,158.59

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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.