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Finding the Third Proportional to 258,789 and 563,141

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Solution

The third proportional to 258,789 and 563,141 is: 1,225,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,789 : 563,141 = 563,141 : x
  2. Step 2: Convert to fraction form
    258,789/563,141 = 563,141/x
  3. Step 3: Cross multiply
    258,789x = 563,141 × 563,141
  4. Step 4: Simplify right side
    258,789x = 317,127,785,881
  5. Step 5: Solve for x
    x = 317,127,785,881/258,789
  6. Step 6: Final answer
    x = 1,225,429.93

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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.