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Finding the Third Proportional to 290,413 and 625,324

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Solution

The third proportional to 290,413 and 625,324 is: 1,346,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,413 : 625,324 = 625,324 : x
  2. Step 2: Convert to fraction form
    290,413/625,324 = 625,324/x
  3. Step 3: Cross multiply
    290,413x = 625,324 × 625,324
  4. Step 4: Simplify right side
    290,413x = 391,030,104,976
  5. Step 5: Solve for x
    x = 391,030,104,976/290,413
  6. Step 6: Final answer
    x = 1,346,462.12

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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.