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Finding the Third Proportional to 137,232 and 296,334

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Solution

The third proportional to 137,232 and 296,334 is: 639,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,232 : 296,334 = 296,334 : x
  2. Step 2: Convert to fraction form
    137,232/296,334 = 296,334/x
  3. Step 3: Cross multiply
    137,232x = 296,334 × 296,334
  4. Step 4: Simplify right side
    137,232x = 87,813,839,556
  5. Step 5: Solve for x
    x = 87,813,839,556/137,232
  6. Step 6: Final answer
    x = 639,893.32

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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.