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Finding the Third Proportional to 120,498 and 262,431

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Solution

The third proportional to 120,498 and 262,431 is: 571,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,498 : 262,431 = 262,431 : x
  2. Step 2: Convert to fraction form
    120,498/262,431 = 262,431/x
  3. Step 3: Cross multiply
    120,498x = 262,431 × 262,431
  4. Step 4: Simplify right side
    120,498x = 68,870,029,761
  5. Step 5: Solve for x
    x = 68,870,029,761/120,498
  6. Step 6: Final answer
    x = 571,545.00

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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.