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Finding the Third Proportional to 138,024 and 307,152

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Solution

The third proportional to 138,024 and 307,152 is: 683,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,024 : 307,152 = 307,152 : x
  2. Step 2: Convert to fraction form
    138,024/307,152 = 307,152/x
  3. Step 3: Cross multiply
    138,024x = 307,152 × 307,152
  4. Step 4: Simplify right side
    138,024x = 94,342,351,104
  5. Step 5: Solve for x
    x = 94,342,351,104/138,024
  6. Step 6: Final answer
    x = 683,521.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.