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Finding the Third Proportional to 69,371 and 147,382

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Solution

The third proportional to 69,371 and 147,382 is: 313,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,371 : 147,382 = 147,382 : x
  2. Step 2: Convert to fraction form
    69,371/147,382 = 147,382/x
  3. Step 3: Cross multiply
    69,371x = 147,382 × 147,382
  4. Step 4: Simplify right side
    69,371x = 21,721,453,924
  5. Step 5: Solve for x
    x = 21,721,453,924/69,371
  6. Step 6: Final answer
    x = 313,120.09

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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.