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Finding the Third Proportional to 137,168 and 207,472

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Solution

The third proportional to 137,168 and 207,472 is: 313,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,168 : 207,472 = 207,472 : x
  2. Step 2: Convert to fraction form
    137,168/207,472 = 207,472/x
  3. Step 3: Cross multiply
    137,168x = 207,472 × 207,472
  4. Step 4: Simplify right side
    137,168x = 43,044,630,784
  5. Step 5: Solve for x
    x = 43,044,630,784/137,168
  6. Step 6: Final answer
    x = 313,809.57

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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.