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Finding the Third Proportional to 273,153 and 413,538

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Solution

The third proportional to 273,153 and 413,538 is: 626,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,153 : 413,538 = 413,538 : x
  2. Step 2: Convert to fraction form
    273,153/413,538 = 413,538/x
  3. Step 3: Cross multiply
    273,153x = 413,538 × 413,538
  4. Step 4: Simplify right side
    273,153x = 171,013,677,444
  5. Step 5: Solve for x
    x = 171,013,677,444/273,153
  6. Step 6: Final answer
    x = 626,072.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.