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Finding the Third Proportional to 138,160 and 213,345

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Solution

The third proportional to 138,160 and 213,345 is: 329,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,160 : 213,345 = 213,345 : x
  2. Step 2: Convert to fraction form
    138,160/213,345 = 213,345/x
  3. Step 3: Cross multiply
    138,160x = 213,345 × 213,345
  4. Step 4: Simplify right side
    138,160x = 45,516,089,025
  5. Step 5: Solve for x
    x = 45,516,089,025/138,160
  6. Step 6: Final answer
    x = 329,444.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.