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Finding the Third Proportional to 290,796 and 390,762

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Solution

The third proportional to 290,796 and 390,762 is: 525,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,796 : 390,762 = 390,762 : x
  2. Step 2: Convert to fraction form
    290,796/390,762 = 390,762/x
  3. Step 3: Cross multiply
    290,796x = 390,762 × 390,762
  4. Step 4: Simplify right side
    290,796x = 152,694,940,644
  5. Step 5: Solve for x
    x = 152,694,940,644/290,796
  6. Step 6: Final answer
    x = 525,092.99

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.