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Finding the Third Proportional to 426,613 and 642,620

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Solution

The third proportional to 426,613 and 642,620 is: 967,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,613 : 642,620 = 642,620 : x
  2. Step 2: Convert to fraction form
    426,613/642,620 = 642,620/x
  3. Step 3: Cross multiply
    426,613x = 642,620 × 642,620
  4. Step 4: Simplify right side
    426,613x = 412,960,464,400
  5. Step 5: Solve for x
    x = 412,960,464,400/426,613
  6. Step 6: Final answer
    x = 967,997.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.