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Finding the Third Proportional to 423,860 and 920,620

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Solution

The third proportional to 423,860 and 920,620 is: 1,999,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,860 : 920,620 = 920,620 : x
  2. Step 2: Convert to fraction form
    423,860/920,620 = 920,620/x
  3. Step 3: Cross multiply
    423,860x = 920,620 × 920,620
  4. Step 4: Simplify right side
    423,860x = 847,541,184,400
  5. Step 5: Solve for x
    x = 847,541,184,400/423,860
  6. Step 6: Final answer
    x = 1,999,578.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.