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Finding the Third Proportional to 290,828 and 426,654

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Solution

The third proportional to 290,828 and 426,654 is: 625,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,828 : 426,654 = 426,654 : x
  2. Step 2: Convert to fraction form
    290,828/426,654 = 426,654/x
  3. Step 3: Cross multiply
    290,828x = 426,654 × 426,654
  4. Step 4: Simplify right side
    290,828x = 182,033,635,716
  5. Step 5: Solve for x
    x = 182,033,635,716/290,828
  6. Step 6: Final answer
    x = 625,915.10

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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.