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Finding the Third Proportional to 421,709 and 918,295

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Solution

The third proportional to 421,709 and 918,295 is: 1,999,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,709 : 918,295 = 918,295 : x
  2. Step 2: Convert to fraction form
    421,709/918,295 = 918,295/x
  3. Step 3: Cross multiply
    421,709x = 918,295 × 918,295
  4. Step 4: Simplify right side
    421,709x = 843,265,707,025
  5. Step 5: Solve for x
    x = 843,265,707,025/421,709
  6. Step 6: Final answer
    x = 1,999,638.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.