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Finding the Third Proportional to 290,290 and 439,810

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Solution

The third proportional to 290,290 and 439,810 is: 666,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,290 : 439,810 = 439,810 : x
  2. Step 2: Convert to fraction form
    290,290/439,810 = 439,810/x
  3. Step 3: Cross multiply
    290,290x = 439,810 × 439,810
  4. Step 4: Simplify right side
    290,290x = 193,432,836,100
  5. Step 5: Solve for x
    x = 193,432,836,100/290,290
  6. Step 6: Final answer
    x = 666,343.44

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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.