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Finding the Third Proportional to 140,906 and 291,127

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Solution

The third proportional to 140,906 and 291,127 is: 601,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,906 : 291,127 = 291,127 : x
  2. Step 2: Convert to fraction form
    140,906/291,127 = 291,127/x
  3. Step 3: Cross multiply
    140,906x = 291,127 × 291,127
  4. Step 4: Simplify right side
    140,906x = 84,754,930,129
  5. Step 5: Solve for x
    x = 84,754,930,129/140,906
  6. Step 6: Final answer
    x = 601,499.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.