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Finding the Third Proportional to 148,712 and 239,392

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Solution

The third proportional to 148,712 and 239,392 is: 385,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,712 : 239,392 = 239,392 : x
  2. Step 2: Convert to fraction form
    148,712/239,392 = 239,392/x
  3. Step 3: Cross multiply
    148,712x = 239,392 × 239,392
  4. Step 4: Simplify right side
    148,712x = 57,308,529,664
  5. Step 5: Solve for x
    x = 57,308,529,664/148,712
  6. Step 6: Final answer
    x = 385,365.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.