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Finding the Third Proportional to 195,636 and 310,964

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Solution

The third proportional to 195,636 and 310,964 is: 494,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,636 : 310,964 = 310,964 : x
  2. Step 2: Convert to fraction form
    195,636/310,964 = 310,964/x
  3. Step 3: Cross multiply
    195,636x = 310,964 × 310,964
  4. Step 4: Simplify right side
    195,636x = 96,698,609,296
  5. Step 5: Solve for x
    x = 96,698,609,296/195,636
  6. Step 6: Final answer
    x = 494,278.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.