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Finding the Third Proportional to 503,637.75 and 780,986.25

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Solution

The third proportional to 503,637.75 and 780,986.25 is: 1,211,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,637.75 : 780,986.25 = 780,986.25 : x
  2. Step 2: Convert to fraction form
    503,637.75/780,986.25 = 780,986.25/x
  3. Step 3: Cross multiply
    503,637.75x = 780,986.25 × 780,986.25
  4. Step 4: Simplify right side
    503,637.75x = 609,939,522,689.06
  5. Step 5: Solve for x
    x = 609,939,522,689.06/503,637.75
  6. Step 6: Final answer
    x = 1,211,067.92

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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.