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Finding the Third Proportional to 503,871 and 780,147

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Solution

The third proportional to 503,871 and 780,147 is: 1,207,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,871 : 780,147 = 780,147 : x
  2. Step 2: Convert to fraction form
    503,871/780,147 = 780,147/x
  3. Step 3: Cross multiply
    503,871x = 780,147 × 780,147
  4. Step 4: Simplify right side
    503,871x = 608,629,341,609
  5. Step 5: Solve for x
    x = 608,629,341,609/503,871
  6. Step 6: Final answer
    x = 1,207,907.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.