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Finding the Third Proportional to 310,307 and 675,910

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Solution

The third proportional to 310,307 and 675,910 is: 1,472,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,307 : 675,910 = 675,910 : x
  2. Step 2: Convert to fraction form
    310,307/675,910 = 675,910/x
  3. Step 3: Cross multiply
    310,307x = 675,910 × 675,910
  4. Step 4: Simplify right side
    310,307x = 456,854,328,100
  5. Step 5: Solve for x
    x = 456,854,328,100/310,307
  6. Step 6: Final answer
    x = 1,472,265.62

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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.