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Finding the Third Proportional to 407,881.50 and 620,458.50

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Solution

The third proportional to 407,881.50 and 620,458.50 is: 943,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,881.50 : 620,458.50 = 620,458.50 : x
  2. Step 2: Convert to fraction form
    407,881.50/620,458.50 = 620,458.50/x
  3. Step 3: Cross multiply
    407,881.50x = 620,458.50 × 620,458.50
  4. Step 4: Simplify right side
    407,881.50x = 384,968,750,222.25
  5. Step 5: Solve for x
    x = 384,968,750,222.25/407,881.50
  6. Step 6: Final answer
    x = 943,824.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.