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Finding the Third Proportional to 277,293 and 428,167.50

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Solution

The third proportional to 277,293 and 428,167.50 is: 661,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,293 : 428,167.50 = 428,167.50 : x
  2. Step 2: Convert to fraction form
    277,293/428,167.50 = 428,167.50/x
  3. Step 3: Cross multiply
    277,293x = 428,167.50 × 428,167.50
  4. Step 4: Simplify right side
    277,293x = 183,327,408,056.25
  5. Step 5: Solve for x
    x = 183,327,408,056.25/277,293
  6. Step 6: Final answer
    x = 661,132.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.