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Finding the Third Proportional to 290,776 and 635,558

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Solution

The third proportional to 290,776 and 635,558 is: 1,389,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,776 : 635,558 = 635,558 : x
  2. Step 2: Convert to fraction form
    290,776/635,558 = 635,558/x
  3. Step 3: Cross multiply
    290,776x = 635,558 × 635,558
  4. Step 4: Simplify right side
    290,776x = 403,933,971,364
  5. Step 5: Solve for x
    x = 403,933,971,364/290,776
  6. Step 6: Final answer
    x = 1,389,158.57

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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.