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Finding the Third Proportional to 258,784 and 563,130

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Solution

The third proportional to 258,784 and 563,130 is: 1,225,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,784 : 563,130 = 563,130 : x
  2. Step 2: Convert to fraction form
    258,784/563,130 = 563,130/x
  3. Step 3: Cross multiply
    258,784x = 563,130 × 563,130
  4. Step 4: Simplify right side
    258,784x = 317,115,396,900
  5. Step 5: Solve for x
    x = 317,115,396,900/258,784
  6. Step 6: Final answer
    x = 1,225,405.73

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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.