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Finding the Third Proportional to 258,804 and 563,169

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Solution

The third proportional to 258,804 and 563,169 is: 1,225,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,804 : 563,169 = 563,169 : x
  2. Step 2: Convert to fraction form
    258,804/563,169 = 563,169/x
  3. Step 3: Cross multiply
    258,804x = 563,169 × 563,169
  4. Step 4: Simplify right side
    258,804x = 317,159,322,561
  5. Step 5: Solve for x
    x = 317,159,322,561/258,804
  6. Step 6: Final answer
    x = 1,225,480.76

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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.