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Finding the Third Proportional to 142,945 and 304,378

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Solution

The third proportional to 142,945 and 304,378 is: 648,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,945 : 304,378 = 304,378 : x
  2. Step 2: Convert to fraction form
    142,945/304,378 = 304,378/x
  3. Step 3: Cross multiply
    142,945x = 304,378 × 304,378
  4. Step 4: Simplify right side
    142,945x = 92,645,966,884
  5. Step 5: Solve for x
    x = 92,645,966,884/142,945
  6. Step 6: Final answer
    x = 648,123.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.