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Finding the Third Proportional to 138,368 and 208,824

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Solution

The third proportional to 138,368 and 208,824 is: 315,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,368 : 208,824 = 208,824 : x
  2. Step 2: Convert to fraction form
    138,368/208,824 = 208,824/x
  3. Step 3: Cross multiply
    138,368x = 208,824 × 208,824
  4. Step 4: Simplify right side
    138,368x = 43,607,462,976
  5. Step 5: Solve for x
    x = 43,607,462,976/138,368
  6. Step 6: Final answer
    x = 315,155.69

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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.