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Finding the Third Proportional to 388,761.75 and 634,816.13

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Solution

The third proportional to 388,761.75 and 634,816.13 is: 1,036,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,761.75 : 634,816.13 = 634,816.13 : x
  2. Step 2: Convert to fraction form
    388,761.75/634,816.13 = 634,816.13/x
  3. Step 3: Cross multiply
    388,761.75x = 634,816.13 × 634,816.13
  4. Step 4: Simplify right side
    388,761.75x = 402,991,512,560.02
  5. Step 5: Solve for x
    x = 402,991,512,560.02/388,761.75
  6. Step 6: Final answer
    x = 1,036,602.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.