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Finding the Third Proportional to 671,700 and 1,419,207

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Solution

The third proportional to 671,700 and 1,419,207 is: 2,998,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,700 : 1,419,207 = 1,419,207 : x
  2. Step 2: Convert to fraction form
    671,700/1,419,207 = 1,419,207/x
  3. Step 3: Cross multiply
    671,700x = 1,419,207 × 1,419,207
  4. Step 4: Simplify right side
    671,700x = 2,014,148,508,849
  5. Step 5: Solve for x
    x = 2,014,148,508,849/671,700
  6. Step 6: Final answer
    x = 2,998,583.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.