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Finding the Third Proportional to 533,539 and 780,321

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Solution

The third proportional to 533,539 and 780,321 is: 1,141,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,539 : 780,321 = 780,321 : x
  2. Step 2: Convert to fraction form
    533,539/780,321 = 780,321/x
  3. Step 3: Cross multiply
    533,539x = 780,321 × 780,321
  4. Step 4: Simplify right side
    533,539x = 608,900,863,041
  5. Step 5: Solve for x
    x = 608,900,863,041/533,539
  6. Step 6: Final answer
    x = 1,141,249.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.