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Finding the Third Proportional to 130,248 and 283,824

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Solution

The third proportional to 130,248 and 283,824 is: 618,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,248 : 283,824 = 283,824 : x
  2. Step 2: Convert to fraction form
    130,248/283,824 = 283,824/x
  3. Step 3: Cross multiply
    130,248x = 283,824 × 283,824
  4. Step 4: Simplify right side
    130,248x = 80,556,062,976
  5. Step 5: Solve for x
    x = 80,556,062,976/130,248
  6. Step 6: Final answer
    x = 618,482.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.