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Finding the Third Proportional to 444,367 and 634,999.50

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Solution

The third proportional to 444,367 and 634,999.50 is: 907,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,367 : 634,999.50 = 634,999.50 : x
  2. Step 2: Convert to fraction form
    444,367/634,999.50 = 634,999.50/x
  3. Step 3: Cross multiply
    444,367x = 634,999.50 × 634,999.50
  4. Step 4: Simplify right side
    444,367x = 403,224,365,000.25
  5. Step 5: Solve for x
    x = 403,224,365,000.25/444,367
  6. Step 6: Final answer
    x = 907,412.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.