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Finding the Third Proportional to 407,170.50 and 634,021.50

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Solution

The third proportional to 407,170.50 and 634,021.50 is: 987,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,170.50 : 634,021.50 = 634,021.50 : x
  2. Step 2: Convert to fraction form
    407,170.50/634,021.50 = 634,021.50/x
  3. Step 3: Cross multiply
    407,170.50x = 634,021.50 × 634,021.50
  4. Step 4: Simplify right side
    407,170.50x = 401,983,262,462.25
  5. Step 5: Solve for x
    x = 401,983,262,462.25/407,170.50
  6. Step 6: Final answer
    x = 987,260.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.