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Finding the Third Proportional to 290,853 and 418,907.25

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Solution

The third proportional to 290,853 and 418,907.25 is: 603,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,853 : 418,907.25 = 418,907.25 : x
  2. Step 2: Convert to fraction form
    290,853/418,907.25 = 418,907.25/x
  3. Step 3: Cross multiply
    290,853x = 418,907.25 × 418,907.25
  4. Step 4: Simplify right side
    290,853x = 175,483,284,102.56
  5. Step 5: Solve for x
    x = 175,483,284,102.56/290,853
  6. Step 6: Final answer
    x = 603,340.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.