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Finding the Third Proportional to 209,377 and 429,842

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Solution

The third proportional to 209,377 and 429,842 is: 882,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,377 : 429,842 = 429,842 : x
  2. Step 2: Convert to fraction form
    209,377/429,842 = 429,842/x
  3. Step 3: Cross multiply
    209,377x = 429,842 × 429,842
  4. Step 4: Simplify right side
    209,377x = 184,764,144,964
  5. Step 5: Solve for x
    x = 184,764,144,964/209,377
  6. Step 6: Final answer
    x = 882,447.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.