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Finding the Third Proportional to 69,370 and 147,380

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Solution

The third proportional to 69,370 and 147,380 is: 313,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,370 : 147,380 = 147,380 : x
  2. Step 2: Convert to fraction form
    69,370/147,380 = 147,380/x
  3. Step 3: Cross multiply
    69,370x = 147,380 × 147,380
  4. Step 4: Simplify right side
    69,370x = 21,720,864,400
  5. Step 5: Solve for x
    x = 21,720,864,400/69,370
  6. Step 6: Final answer
    x = 313,116.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.