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Finding the Third Proportional to 109,746 and 258,804

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Solution

The third proportional to 109,746 and 258,804 is: 610,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,746 : 258,804 = 258,804 : x
  2. Step 2: Convert to fraction form
    109,746/258,804 = 258,804/x
  3. Step 3: Cross multiply
    109,746x = 258,804 × 258,804
  4. Step 4: Simplify right side
    109,746x = 66,979,510,416
  5. Step 5: Solve for x
    x = 66,979,510,416/109,746
  6. Step 6: Final answer
    x = 610,313.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.