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Finding the Third Proportional to 39,402 and 57,417

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Solution

The third proportional to 39,402 and 57,417 is: 83,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,402 : 57,417 = 57,417 : x
  2. Step 2: Convert to fraction form
    39,402/57,417 = 57,417/x
  3. Step 3: Cross multiply
    39,402x = 57,417 × 57,417
  4. Step 4: Simplify right side
    39,402x = 3,296,711,889
  5. Step 5: Solve for x
    x = 3,296,711,889/39,402
  6. Step 6: Final answer
    x = 83,668.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.