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Finding the Third Proportional to 713,719.50 and 968,847

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Solution

The third proportional to 713,719.50 and 968,847 is: 1,315,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,719.50 : 968,847 = 968,847 : x
  2. Step 2: Convert to fraction form
    713,719.50/968,847 = 968,847/x
  3. Step 3: Cross multiply
    713,719.50x = 968,847 × 968,847
  4. Step 4: Simplify right side
    713,719.50x = 938,664,509,409
  5. Step 5: Solve for x
    x = 938,664,509,409/713,719.50
  6. Step 6: Final answer
    x = 1,315,172.85

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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.