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Finding the Third Proportional to 69,412 and 147,464

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Solution

The third proportional to 69,412 and 147,464 is: 313,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,412 : 147,464 = 147,464 : x
  2. Step 2: Convert to fraction form
    69,412/147,464 = 147,464/x
  3. Step 3: Cross multiply
    69,412x = 147,464 × 147,464
  4. Step 4: Simplify right side
    69,412x = 21,745,631,296
  5. Step 5: Solve for x
    x = 21,745,631,296/69,412
  6. Step 6: Final answer
    x = 313,283.46

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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.