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Finding the Third Proportional to 10,242 and 15,457

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Solution

The third proportional to 10,242 and 15,457 is: 23,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242 : 15,457 = 15,457 : x
  2. Step 2: Convert to fraction form
    10,242/15,457 = 15,457/x
  3. Step 3: Cross multiply
    10,242x = 15,457 × 15,457
  4. Step 4: Simplify right side
    10,242x = 238,918,849
  5. Step 5: Solve for x
    x = 238,918,849/10,242
  6. Step 6: Final answer
    x = 23,327.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.