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Finding the Third Proportional to 69,393 and 148,623

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Solution

The third proportional to 69,393 and 148,623 is: 318,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,393 : 148,623 = 148,623 : x
  2. Step 2: Convert to fraction form
    69,393/148,623 = 148,623/x
  3. Step 3: Cross multiply
    69,393x = 148,623 × 148,623
  4. Step 4: Simplify right side
    69,393x = 22,088,796,129
  5. Step 5: Solve for x
    x = 22,088,796,129/69,393
  6. Step 6: Final answer
    x = 318,314.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.