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Finding the Third Proportional to 15,297 and 31,417

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Solution

The third proportional to 15,297 and 31,417 is: 64,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297 : 31,417 = 31,417 : x
  2. Step 2: Convert to fraction form
    15,297/31,417 = 31,417/x
  3. Step 3: Cross multiply
    15,297x = 31,417 × 31,417
  4. Step 4: Simplify right side
    15,297x = 987,027,889
  5. Step 5: Solve for x
    x = 987,027,889/15,297
  6. Step 6: Final answer
    x = 64,524.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.