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Finding the Third Proportional to 148,222 and 319,772

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Solution

The third proportional to 148,222 and 319,772 is: 689,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,222 : 319,772 = 319,772 : x
  2. Step 2: Convert to fraction form
    148,222/319,772 = 319,772/x
  3. Step 3: Cross multiply
    148,222x = 319,772 × 319,772
  4. Step 4: Simplify right side
    148,222x = 102,254,131,984
  5. Step 5: Solve for x
    x = 102,254,131,984/148,222
  6. Step 6: Final answer
    x = 689,871.49

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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.