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Finding the Third Proportional to 421,700 and 918,274

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Solution

The third proportional to 421,700 and 918,274 is: 1,999,590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,700 : 918,274 = 918,274 : x
  2. Step 2: Convert to fraction form
    421,700/918,274 = 918,274/x
  3. Step 3: Cross multiply
    421,700x = 918,274 × 918,274
  4. Step 4: Simplify right side
    421,700x = 843,227,139,076
  5. Step 5: Solve for x
    x = 843,227,139,076/421,700
  6. Step 6: Final answer
    x = 1,999,590.09

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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.