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Finding the Third Proportional to 145,128 and 319,692

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Solution

The third proportional to 145,128 and 319,692 is: 704,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,128 : 319,692 = 319,692 : x
  2. Step 2: Convert to fraction form
    145,128/319,692 = 319,692/x
  3. Step 3: Cross multiply
    145,128x = 319,692 × 319,692
  4. Step 4: Simplify right side
    145,128x = 102,202,974,864
  5. Step 5: Solve for x
    x = 102,202,974,864/145,128
  6. Step 6: Final answer
    x = 704,226.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.