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Finding the Third Proportional to 421,164 and 631,538

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Solution

The third proportional to 421,164 and 631,538 is: 946,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,164 : 631,538 = 631,538 : x
  2. Step 2: Convert to fraction form
    421,164/631,538 = 631,538/x
  3. Step 3: Cross multiply
    421,164x = 631,538 × 631,538
  4. Step 4: Simplify right side
    421,164x = 398,840,245,444
  5. Step 5: Solve for x
    x = 398,840,245,444/421,164
  6. Step 6: Final answer
    x = 946,995.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.