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Finding the Third Proportional to 420,888 and 920,509

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Solution

The third proportional to 420,888 and 920,509 is: 2,013,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,888 : 920,509 = 920,509 : x
  2. Step 2: Convert to fraction form
    420,888/920,509 = 920,509/x
  3. Step 3: Cross multiply
    420,888x = 920,509 × 920,509
  4. Step 4: Simplify right side
    420,888x = 847,336,819,081
  5. Step 5: Solve for x
    x = 847,336,819,081/420,888
  6. Step 6: Final answer
    x = 2,013,212.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.