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Finding the Third Proportional to 306,036 and 430,201.50

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Solution

The third proportional to 306,036 and 430,201.50 is: 604,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,036 : 430,201.50 = 430,201.50 : x
  2. Step 2: Convert to fraction form
    306,036/430,201.50 = 430,201.50/x
  3. Step 3: Cross multiply
    306,036x = 430,201.50 × 430,201.50
  4. Step 4: Simplify right side
    306,036x = 185,073,330,602.25
  5. Step 5: Solve for x
    x = 185,073,330,602.25/306,036
  6. Step 6: Final answer
    x = 604,743.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.