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Finding the Third Proportional to 286,272 and 429,696

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Solution

The third proportional to 286,272 and 429,696 is: 644,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,272 : 429,696 = 429,696 : x
  2. Step 2: Convert to fraction form
    286,272/429,696 = 429,696/x
  3. Step 3: Cross multiply
    286,272x = 429,696 × 429,696
  4. Step 4: Simplify right side
    286,272x = 184,638,652,416
  5. Step 5: Solve for x
    x = 184,638,652,416/286,272
  6. Step 6: Final answer
    x = 644,976.29

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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.