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Finding the Third Proportional to 83,307 and 118,728

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Solution

The third proportional to 83,307 and 118,728 is: 169,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,307 : 118,728 = 118,728 : x
  2. Step 2: Convert to fraction form
    83,307/118,728 = 118,728/x
  3. Step 3: Cross multiply
    83,307x = 118,728 × 118,728
  4. Step 4: Simplify right side
    83,307x = 14,096,337,984
  5. Step 5: Solve for x
    x = 14,096,337,984/83,307
  6. Step 6: Final answer
    x = 169,209.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.