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Finding the Third Proportional to 714,196.50 and 968,874.75

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Solution

The third proportional to 714,196.50 and 968,874.75 is: 1,314,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,196.50 : 968,874.75 = 968,874.75 : x
  2. Step 2: Convert to fraction form
    714,196.50/968,874.75 = 968,874.75/x
  3. Step 3: Cross multiply
    714,196.50x = 968,874.75 × 968,874.75
  4. Step 4: Simplify right side
    714,196.50x = 938,718,281,187.56
  5. Step 5: Solve for x
    x = 938,718,281,187.56/714,196.50
  6. Step 6: Final answer
    x = 1,314,369.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.