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Finding the Third Proportional to 148,303 and 319,932

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Solution

The third proportional to 148,303 and 319,932 is: 690,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,303 : 319,932 = 319,932 : x
  2. Step 2: Convert to fraction form
    148,303/319,932 = 319,932/x
  3. Step 3: Cross multiply
    148,303x = 319,932 × 319,932
  4. Step 4: Simplify right side
    148,303x = 102,356,484,624
  5. Step 5: Solve for x
    x = 102,356,484,624/148,303
  6. Step 6: Final answer
    x = 690,184.86

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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.