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Finding the Third Proportional to 236,866 and 307,307

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Solution

The third proportional to 236,866 and 307,307 is: 398,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,866 : 307,307 = 307,307 : x
  2. Step 2: Convert to fraction form
    236,866/307,307 = 307,307/x
  3. Step 3: Cross multiply
    236,866x = 307,307 × 307,307
  4. Step 4: Simplify right side
    236,866x = 94,437,592,249
  5. Step 5: Solve for x
    x = 94,437,592,249/236,866
  6. Step 6: Final answer
    x = 398,696.28

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.