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Finding the Third Proportional to 286,288 and 429,720

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Solution

The third proportional to 286,288 and 429,720 is: 645,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,288 : 429,720 = 429,720 : x
  2. Step 2: Convert to fraction form
    286,288/429,720 = 429,720/x
  3. Step 3: Cross multiply
    286,288x = 429,720 × 429,720
  4. Step 4: Simplify right side
    286,288x = 184,659,278,400
  5. Step 5: Solve for x
    x = 184,659,278,400/286,288
  6. Step 6: Final answer
    x = 645,012.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.