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Finding the Third Proportional to 208,968 and 429,072

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Solution

The third proportional to 208,968 and 429,072 is: 881,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,968 : 429,072 = 429,072 : x
  2. Step 2: Convert to fraction form
    208,968/429,072 = 429,072/x
  3. Step 3: Cross multiply
    208,968x = 429,072 × 429,072
  4. Step 4: Simplify right side
    208,968x = 184,102,781,184
  5. Step 5: Solve for x
    x = 184,102,781,184/208,968
  6. Step 6: Final answer
    x = 881,009.44

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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.