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Finding the Third Proportional to 301,272 and 428,305.50

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Solution

The third proportional to 301,272 and 428,305.50 is: 608,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,272 : 428,305.50 = 428,305.50 : x
  2. Step 2: Convert to fraction form
    301,272/428,305.50 = 428,305.50/x
  3. Step 3: Cross multiply
    301,272x = 428,305.50 × 428,305.50
  4. Step 4: Simplify right side
    301,272x = 183,445,601,330.25
  5. Step 5: Solve for x
    x = 183,445,601,330.25/301,272
  6. Step 6: Final answer
    x = 608,903.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.