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Finding the Third Proportional to 224,866 and 336,083

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Solution

The third proportional to 224,866 and 336,083 is: 502,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,866 : 336,083 = 336,083 : x
  2. Step 2: Convert to fraction form
    224,866/336,083 = 336,083/x
  3. Step 3: Cross multiply
    224,866x = 336,083 × 336,083
  4. Step 4: Simplify right side
    224,866x = 112,951,782,889
  5. Step 5: Solve for x
    x = 112,951,782,889/224,866
  6. Step 6: Final answer
    x = 502,307.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.