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Finding the Third Proportional to 310,857 and 412,617

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Solution

The third proportional to 310,857 and 412,617 is: 547,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,857 : 412,617 = 412,617 : x
  2. Step 2: Convert to fraction form
    310,857/412,617 = 412,617/x
  3. Step 3: Cross multiply
    310,857x = 412,617 × 412,617
  4. Step 4: Simplify right side
    310,857x = 170,252,788,689
  5. Step 5: Solve for x
    x = 170,252,788,689/310,857
  6. Step 6: Final answer
    x = 547,688.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.