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Finding the Third Proportional to 202,435 and 429,778

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Solution

The third proportional to 202,435 and 429,778 is: 912,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,435 : 429,778 = 429,778 : x
  2. Step 2: Convert to fraction form
    202,435/429,778 = 429,778/x
  3. Step 3: Cross multiply
    202,435x = 429,778 × 429,778
  4. Step 4: Simplify right side
    202,435x = 184,709,129,284
  5. Step 5: Solve for x
    x = 184,709,129,284/202,435
  6. Step 6: Final answer
    x = 912,436.73

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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.