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Finding the Third Proportional to 549,275 and 831,653

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Solution

The third proportional to 549,275 and 831,653 is: 1,259,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,275 : 831,653 = 831,653 : x
  2. Step 2: Convert to fraction form
    549,275/831,653 = 831,653/x
  3. Step 3: Cross multiply
    549,275x = 831,653 × 831,653
  4. Step 4: Simplify right side
    549,275x = 691,646,712,409
  5. Step 5: Solve for x
    x = 691,646,712,409/549,275
  6. Step 6: Final answer
    x = 1,259,199.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.