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Finding the Third Proportional to 290,872 and 426,732

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Solution

The third proportional to 290,872 and 426,732 is: 626,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,872 : 426,732 = 426,732 : x
  2. Step 2: Convert to fraction form
    290,872/426,732 = 426,732/x
  3. Step 3: Cross multiply
    290,872x = 426,732 × 426,732
  4. Step 4: Simplify right side
    290,872x = 182,100,199,824
  5. Step 5: Solve for x
    x = 182,100,199,824/290,872
  6. Step 6: Final answer
    x = 626,049.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.