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Finding the Third Proportional to 72,307 and 148,137

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Solution

The third proportional to 72,307 and 148,137 is: 303,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,307 : 148,137 = 148,137 : x
  2. Step 2: Convert to fraction form
    72,307/148,137 = 148,137/x
  3. Step 3: Cross multiply
    72,307x = 148,137 × 148,137
  4. Step 4: Simplify right side
    72,307x = 21,944,570,769
  5. Step 5: Solve for x
    x = 21,944,570,769/72,307
  6. Step 6: Final answer
    x = 303,491.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.