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Finding the Third Proportional to 290,778 and 635,562

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Solution

The third proportional to 290,778 and 635,562 is: 1,389,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,778 : 635,562 = 635,562 : x
  2. Step 2: Convert to fraction form
    290,778/635,562 = 635,562/x
  3. Step 3: Cross multiply
    290,778x = 635,562 × 635,562
  4. Step 4: Simplify right side
    290,778x = 403,939,055,844
  5. Step 5: Solve for x
    x = 403,939,055,844/290,778
  6. Step 6: Final answer
    x = 1,389,166.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.