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Finding the Third Proportional to 754,108.50 and 968,255.06

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Solution

The third proportional to 754,108.50 and 968,255.06 is: 1,243,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,108.50 : 968,255.06 = 968,255.06 : x
  2. Step 2: Convert to fraction form
    754,108.50/968,255.06 = 968,255.06/x
  3. Step 3: Cross multiply
    754,108.50x = 968,255.06 × 968,255.06
  4. Step 4: Simplify right side
    754,108.50x = 937,517,866,056.88
  5. Step 5: Solve for x
    x = 937,517,866,056.88/754,108.50
  6. Step 6: Final answer
    x = 1,243,213.50

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.