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Finding the Third Proportional to 143,737 and 307,177

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Solution

The third proportional to 143,737 and 307,177 is: 656,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,737 : 307,177 = 307,177 : x
  2. Step 2: Convert to fraction form
    143,737/307,177 = 307,177/x
  3. Step 3: Cross multiply
    143,737x = 307,177 × 307,177
  4. Step 4: Simplify right side
    143,737x = 94,357,709,329
  5. Step 5: Solve for x
    x = 94,357,709,329/143,737
  6. Step 6: Final answer
    x = 656,460.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.