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Finding the Third Proportional to 290,705 and 625,762

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Solution

The third proportional to 290,705 and 625,762 is: 1,346,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,705 : 625,762 = 625,762 : x
  2. Step 2: Convert to fraction form
    290,705/625,762 = 625,762/x
  3. Step 3: Cross multiply
    290,705x = 625,762 × 625,762
  4. Step 4: Simplify right side
    290,705x = 391,578,080,644
  5. Step 5: Solve for x
    x = 391,578,080,644/290,705
  6. Step 6: Final answer
    x = 1,346,994.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.