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Finding the Third Proportional to 57,046 and 137,430

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Solution

The third proportional to 57,046 and 137,430 is: 331,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,046 : 137,430 = 137,430 : x
  2. Step 2: Convert to fraction form
    57,046/137,430 = 137,430/x
  3. Step 3: Cross multiply
    57,046x = 137,430 × 137,430
  4. Step 4: Simplify right side
    57,046x = 18,887,004,900
  5. Step 5: Solve for x
    x = 18,887,004,900/57,046
  6. Step 6: Final answer
    x = 331,083.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.