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Finding the Third Proportional to 265,489 and 406,313

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Solution

The third proportional to 265,489 and 406,313 is: 621,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,489 : 406,313 = 406,313 : x
  2. Step 2: Convert to fraction form
    265,489/406,313 = 406,313/x
  3. Step 3: Cross multiply
    265,489x = 406,313 × 406,313
  4. Step 4: Simplify right side
    265,489x = 165,090,253,969
  5. Step 5: Solve for x
    x = 165,090,253,969/265,489
  6. Step 6: Final answer
    x = 621,834.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.