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Finding the Third Proportional to 130,518 and 281,772

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Solution

The third proportional to 130,518 and 281,772 is: 608,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,518 : 281,772 = 281,772 : x
  2. Step 2: Convert to fraction form
    130,518/281,772 = 281,772/x
  3. Step 3: Cross multiply
    130,518x = 281,772 × 281,772
  4. Step 4: Simplify right side
    130,518x = 79,395,459,984
  5. Step 5: Solve for x
    x = 79,395,459,984/130,518
  6. Step 6: Final answer
    x = 608,310.42

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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.