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Finding the Third Proportional to 69,000 and 148,368

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Solution

The third proportional to 69,000 and 148,368 is: 319,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,000 : 148,368 = 148,368 : x
  2. Step 2: Convert to fraction form
    69,000/148,368 = 148,368/x
  3. Step 3: Cross multiply
    69,000x = 148,368 × 148,368
  4. Step 4: Simplify right side
    69,000x = 22,013,063,424
  5. Step 5: Solve for x
    x = 22,013,063,424/69,000
  6. Step 6: Final answer
    x = 319,029.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.