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Finding the Third Proportional to 137,128 and 207,152

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Solution

The third proportional to 137,128 and 207,152 is: 312,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,128 : 207,152 = 207,152 : x
  2. Step 2: Convert to fraction form
    137,128/207,152 = 207,152/x
  3. Step 3: Cross multiply
    137,128x = 207,152 × 207,152
  4. Step 4: Simplify right side
    137,128x = 42,911,951,104
  5. Step 5: Solve for x
    x = 42,911,951,104/137,128
  6. Step 6: Final answer
    x = 312,933.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.