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Finding the Third Proportional to 147,222 and 317,772

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Solution

The third proportional to 147,222 and 317,772 is: 685,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,222 : 317,772 = 317,772 : x
  2. Step 2: Convert to fraction form
    147,222/317,772 = 317,772/x
  3. Step 3: Cross multiply
    147,222x = 317,772 × 317,772
  4. Step 4: Simplify right side
    147,222x = 100,979,043,984
  5. Step 5: Solve for x
    x = 100,979,043,984/147,222
  6. Step 6: Final answer
    x = 685,896.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.