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Finding the Third Proportional to 215,015 and 458,545

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Solution

The third proportional to 215,015 and 458,545 is: 977,901.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,015 : 458,545 = 458,545 : x
  2. Step 2: Convert to fraction form
    215,015/458,545 = 458,545/x
  3. Step 3: Cross multiply
    215,015x = 458,545 × 458,545
  4. Step 4: Simplify right side
    215,015x = 210,263,517,025
  5. Step 5: Solve for x
    x = 210,263,517,025/215,015
  6. Step 6: Final answer
    x = 977,901.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.