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Finding the Third Proportional to 290.07 and 637.80

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Solution

The third proportional to 290.07 and 637.80 is: 1,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.07 : 637.80 = 637.80 : x
  2. Step 2: Convert to fraction form
    290.07/637.80 = 637.80/x
  3. Step 3: Cross multiply
    290.07x = 637.80 × 637.80
  4. Step 4: Simplify right side
    290.07x = 406,783.61
  5. Step 5: Solve for x
    x = 406,783.61/290.07
  6. Step 6: Final answer
    x = 1,402.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.