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Finding the Third Proportional to 406,272 and 880,344

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Solution

The third proportional to 406,272 and 880,344 is: 1,907,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,272 : 880,344 = 880,344 : x
  2. Step 2: Convert to fraction form
    406,272/880,344 = 880,344/x
  3. Step 3: Cross multiply
    406,272x = 880,344 × 880,344
  4. Step 4: Simplify right side
    406,272x = 775,005,558,336
  5. Step 5: Solve for x
    x = 775,005,558,336/406,272
  6. Step 6: Final answer
    x = 1,907,602.69

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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.