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Finding the Third Proportional to 258,786 and 563,134

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Solution

The third proportional to 258,786 and 563,134 is: 1,225,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,786 : 563,134 = 563,134 : x
  2. Step 2: Convert to fraction form
    258,786/563,134 = 563,134/x
  3. Step 3: Cross multiply
    258,786x = 563,134 × 563,134
  4. Step 4: Simplify right side
    258,786x = 317,119,901,956
  5. Step 5: Solve for x
    x = 317,119,901,956/258,786
  6. Step 6: Final answer
    x = 1,225,413.67

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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.