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Finding the Third Proportional to 29,778 and 40,417

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Solution

The third proportional to 29,778 and 40,417 is: 54,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,778 : 40,417 = 40,417 : x
  2. Step 2: Convert to fraction form
    29,778/40,417 = 40,417/x
  3. Step 3: Cross multiply
    29,778x = 40,417 × 40,417
  4. Step 4: Simplify right side
    29,778x = 1,633,533,889
  5. Step 5: Solve for x
    x = 1,633,533,889/29,778
  6. Step 6: Final answer
    x = 54,857.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.