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Finding the Third Proportional to 310,298 and 675,892

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Solution

The third proportional to 310,298 and 675,892 is: 1,472,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,298 : 675,892 = 675,892 : x
  2. Step 2: Convert to fraction form
    310,298/675,892 = 675,892/x
  3. Step 3: Cross multiply
    310,298x = 675,892 × 675,892
  4. Step 4: Simplify right side
    310,298x = 456,829,995,664
  5. Step 5: Solve for x
    x = 456,829,995,664/310,298
  6. Step 6: Final answer
    x = 1,472,229.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.