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Finding the Third Proportional to 202,436 and 429,779

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Solution

The third proportional to 202,436 and 429,779 is: 912,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,436 : 429,779 = 429,779 : x
  2. Step 2: Convert to fraction form
    202,436/429,779 = 429,779/x
  3. Step 3: Cross multiply
    202,436x = 429,779 × 429,779
  4. Step 4: Simplify right side
    202,436x = 184,709,988,841
  5. Step 5: Solve for x
    x = 184,709,988,841/202,436
  6. Step 6: Final answer
    x = 912,436.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.