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Finding the Third Proportional to 156,989 and 339,127

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Solution

The third proportional to 156,989 and 339,127 is: 732,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,989 : 339,127 = 339,127 : x
  2. Step 2: Convert to fraction form
    156,989/339,127 = 339,127/x
  3. Step 3: Cross multiply
    156,989x = 339,127 × 339,127
  4. Step 4: Simplify right side
    156,989x = 115,007,122,129
  5. Step 5: Solve for x
    x = 115,007,122,129/156,989
  6. Step 6: Final answer
    x = 732,580.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.