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Finding the Third Proportional to 315,938 and 695,920

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Solution

The third proportional to 315,938 and 695,920 is: 1,532,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,938 : 695,920 = 695,920 : x
  2. Step 2: Convert to fraction form
    315,938/695,920 = 695,920/x
  3. Step 3: Cross multiply
    315,938x = 695,920 × 695,920
  4. Step 4: Simplify right side
    315,938x = 484,304,646,400
  5. Step 5: Solve for x
    x = 484,304,646,400/315,938
  6. Step 6: Final answer
    x = 1,532,910.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.