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Finding the Third Proportional to 290,290 and 439,815

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Solution

The third proportional to 290,290 and 439,815 is: 666,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,290 : 439,815 = 439,815 : x
  2. Step 2: Convert to fraction form
    290,290/439,815 = 439,815/x
  3. Step 3: Cross multiply
    290,290x = 439,815 × 439,815
  4. Step 4: Simplify right side
    290,290x = 193,437,234,225
  5. Step 5: Solve for x
    x = 193,437,234,225/290,290
  6. Step 6: Final answer
    x = 666,358.59

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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.