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Finding the Third Proportional to 53,046 and 115,457

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Solution

The third proportional to 53,046 and 115,457 is: 251,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,046 : 115,457 = 115,457 : x
  2. Step 2: Convert to fraction form
    53,046/115,457 = 115,457/x
  3. Step 3: Cross multiply
    53,046x = 115,457 × 115,457
  4. Step 4: Simplify right side
    53,046x = 13,330,318,849
  5. Step 5: Solve for x
    x = 13,330,318,849/53,046
  6. Step 6: Final answer
    x = 251,297.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.