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Finding the Third Proportional to 130,378 and 313,982

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Solution

The third proportional to 130,378 and 313,982 is: 756,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,378 : 313,982 = 313,982 : x
  2. Step 2: Convert to fraction form
    130,378/313,982 = 313,982/x
  3. Step 3: Cross multiply
    130,378x = 313,982 × 313,982
  4. Step 4: Simplify right side
    130,378x = 98,584,696,324
  5. Step 5: Solve for x
    x = 98,584,696,324/130,378
  6. Step 6: Final answer
    x = 756,145.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.