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Finding the Third Proportional to 420,898 and 915,524

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Solution

The third proportional to 420,898 and 915,524 is: 1,991,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,898 : 915,524 = 915,524 : x
  2. Step 2: Convert to fraction form
    420,898/915,524 = 915,524/x
  3. Step 3: Cross multiply
    420,898x = 915,524 × 915,524
  4. Step 4: Simplify right side
    420,898x = 838,184,194,576
  5. Step 5: Solve for x
    x = 838,184,194,576/420,898
  6. Step 6: Final answer
    x = 1,991,418.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.