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Finding the Third Proportional to 420,918 and 901,605

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Solution

The third proportional to 420,918 and 901,605 is: 1,931,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,918 : 901,605 = 901,605 : x
  2. Step 2: Convert to fraction form
    420,918/901,605 = 901,605/x
  3. Step 3: Cross multiply
    420,918x = 901,605 × 901,605
  4. Step 4: Simplify right side
    420,918x = 812,891,576,025
  5. Step 5: Solve for x
    x = 812,891,576,025/420,918
  6. Step 6: Final answer
    x = 1,931,235.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.