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Finding the Third Proportional to 130,000 and 281,322

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Solution

The third proportional to 130,000 and 281,322 is: 608,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,000 : 281,322 = 281,322 : x
  2. Step 2: Convert to fraction form
    130,000/281,322 = 281,322/x
  3. Step 3: Cross multiply
    130,000x = 281,322 × 281,322
  4. Step 4: Simplify right side
    130,000x = 79,142,067,684
  5. Step 5: Solve for x
    x = 79,142,067,684/130,000
  6. Step 6: Final answer
    x = 608,785.14

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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.