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Finding the Third Proportional to 64,414 and 130,645

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Solution

The third proportional to 64,414 and 130,645 is: 264,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,414 : 130,645 = 130,645 : x
  2. Step 2: Convert to fraction form
    64,414/130,645 = 130,645/x
  3. Step 3: Cross multiply
    64,414x = 130,645 × 130,645
  4. Step 4: Simplify right side
    64,414x = 17,068,116,025
  5. Step 5: Solve for x
    x = 17,068,116,025/64,414
  6. Step 6: Final answer
    x = 264,975.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.