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Finding the Third Proportional to 314,716 and 691,640

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Solution

The third proportional to 314,716 and 691,640 is: 1,519,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,716 : 691,640 = 691,640 : x
  2. Step 2: Convert to fraction form
    314,716/691,640 = 691,640/x
  3. Step 3: Cross multiply
    314,716x = 691,640 × 691,640
  4. Step 4: Simplify right side
    314,716x = 478,365,889,600
  5. Step 5: Solve for x
    x = 478,365,889,600/314,716
  6. Step 6: Final answer
    x = 1,519,992.28

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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.