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Finding the Third Proportional to 280,253 and 426,860

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Solution

The third proportional to 280,253 and 426,860 is: 650,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,253 : 426,860 = 426,860 : x
  2. Step 2: Convert to fraction form
    280,253/426,860 = 426,860/x
  3. Step 3: Cross multiply
    280,253x = 426,860 × 426,860
  4. Step 4: Simplify right side
    280,253x = 182,209,459,600
  5. Step 5: Solve for x
    x = 182,209,459,600/280,253
  6. Step 6: Final answer
    x = 650,160.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.