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Finding the Third Proportional to 501.61 and 1,208.39

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Solution

The third proportional to 501.61 and 1,208.39 is: 2,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.61 : 1,208.39 = 1,208.39 : x
  2. Step 2: Convert to fraction form
    501.61/1,208.39 = 1,208.39/x
  3. Step 3: Cross multiply
    501.61x = 1,208.39 × 1,208.39
  4. Step 4: Simplify right side
    501.61x = 1,460,207.90
  5. Step 5: Solve for x
    x = 1,460,207.90/501.61
  6. Step 6: Final answer
    x = 2,911.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.