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Finding the Third Proportional to 290,952 and 439,020

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Solution

The third proportional to 290,952 and 439,020 is: 662,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,952 : 439,020 = 439,020 : x
  2. Step 2: Convert to fraction form
    290,952/439,020 = 439,020/x
  3. Step 3: Cross multiply
    290,952x = 439,020 × 439,020
  4. Step 4: Simplify right side
    290,952x = 192,738,560,400
  5. Step 5: Solve for x
    x = 192,738,560,400/290,952
  6. Step 6: Final answer
    x = 662,441.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.