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Finding the Third Proportional to 280,050 and 425,253

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Solution

The third proportional to 280,050 and 425,253 is: 645,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,050 : 425,253 = 425,253 : x
  2. Step 2: Convert to fraction form
    280,050/425,253 = 425,253/x
  3. Step 3: Cross multiply
    280,050x = 425,253 × 425,253
  4. Step 4: Simplify right side
    280,050x = 180,840,114,009
  5. Step 5: Solve for x
    x = 180,840,114,009/280,050
  6. Step 6: Final answer
    x = 645,742.24

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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.