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Finding the Third Proportional to 262,766 and 406,400

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Solution

The third proportional to 262,766 and 406,400 is: 628,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,766 : 406,400 = 406,400 : x
  2. Step 2: Convert to fraction form
    262,766/406,400 = 406,400/x
  3. Step 3: Cross multiply
    262,766x = 406,400 × 406,400
  4. Step 4: Simplify right side
    262,766x = 165,160,960,000
  5. Step 5: Solve for x
    x = 165,160,960,000/262,766
  6. Step 6: Final answer
    x = 628,547.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.