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Finding the Third Proportional to 296,538 and 458,991

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Solution

The third proportional to 296,538 and 458,991 is: 710,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538 : 458,991 = 458,991 : x
  2. Step 2: Convert to fraction form
    296,538/458,991 = 458,991/x
  3. Step 3: Cross multiply
    296,538x = 458,991 × 458,991
  4. Step 4: Simplify right side
    296,538x = 210,672,738,081
  5. Step 5: Solve for x
    x = 210,672,738,081/296,538
  6. Step 6: Final answer
    x = 710,440.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.