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Finding the Third Proportional to 421,445 and 903,185

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Solution

The third proportional to 421,445 and 903,185 is: 1,935,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,445 : 903,185 = 903,185 : x
  2. Step 2: Convert to fraction form
    421,445/903,185 = 903,185/x
  3. Step 3: Cross multiply
    421,445x = 903,185 × 903,185
  4. Step 4: Simplify right side
    421,445x = 815,743,144,225
  5. Step 5: Solve for x
    x = 815,743,144,225/421,445
  6. Step 6: Final answer
    x = 1,935,586.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.