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Finding the Third Proportional to 138,728 and 282,640

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Solution

The third proportional to 138,728 and 282,640 is: 575,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,728 : 282,640 = 282,640 : x
  2. Step 2: Convert to fraction form
    138,728/282,640 = 282,640/x
  3. Step 3: Cross multiply
    138,728x = 282,640 × 282,640
  4. Step 4: Simplify right side
    138,728x = 79,885,369,600
  5. Step 5: Solve for x
    x = 79,885,369,600/138,728
  6. Step 6: Final answer
    x = 575,841.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.