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Finding the Third Proportional to 290,407 and 625,313

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Solution

The third proportional to 290,407 and 625,313 is: 1,346,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,407 : 625,313 = 625,313 : x
  2. Step 2: Convert to fraction form
    290,407/625,313 = 625,313/x
  3. Step 3: Cross multiply
    290,407x = 625,313 × 625,313
  4. Step 4: Simplify right side
    290,407x = 391,016,347,969
  5. Step 5: Solve for x
    x = 391,016,347,969/290,407
  6. Step 6: Final answer
    x = 1,346,442.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.