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Finding the Third Proportional to 280,624 and 429,288

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Solution

The third proportional to 280,624 and 429,288 is: 656,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,624 : 429,288 = 429,288 : x
  2. Step 2: Convert to fraction form
    280,624/429,288 = 429,288/x
  3. Step 3: Cross multiply
    280,624x = 429,288 × 429,288
  4. Step 4: Simplify right side
    280,624x = 184,288,186,944
  5. Step 5: Solve for x
    x = 184,288,186,944/280,624
  6. Step 6: Final answer
    x = 656,708.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.