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Finding the Third Proportional to 549,517 and 830,019

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Solution

The third proportional to 549,517 and 830,019 is: 1,253,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,517 : 830,019 = 830,019 : x
  2. Step 2: Convert to fraction form
    549,517/830,019 = 830,019/x
  3. Step 3: Cross multiply
    549,517x = 830,019 × 830,019
  4. Step 4: Simplify right side
    549,517x = 688,931,540,361
  5. Step 5: Solve for x
    x = 688,931,540,361/549,517
  6. Step 6: Final answer
    x = 1,253,703.78

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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.