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Finding the Third Proportional to 444,328 and 634,944.50

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Solution

The third proportional to 444,328 and 634,944.50 is: 907,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,328 : 634,944.50 = 634,944.50 : x
  2. Step 2: Convert to fraction form
    444,328/634,944.50 = 634,944.50/x
  3. Step 3: Cross multiply
    444,328x = 634,944.50 × 634,944.50
  4. Step 4: Simplify right side
    444,328x = 403,154,518,080.25
  5. Step 5: Solve for x
    x = 403,154,518,080.25/444,328
  6. Step 6: Final answer
    x = 907,335.39

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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.