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Finding the Third Proportional to 290,404 and 439,988

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Solution

The third proportional to 290,404 and 439,988 is: 666,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,404 : 439,988 = 439,988 : x
  2. Step 2: Convert to fraction form
    290,404/439,988 = 439,988/x
  3. Step 3: Cross multiply
    290,404x = 439,988 × 439,988
  4. Step 4: Simplify right side
    290,404x = 193,589,440,144
  5. Step 5: Solve for x
    x = 193,589,440,144/290,404
  6. Step 6: Final answer
    x = 666,621.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.