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Finding the Third Proportional to 255,982 and 558,621

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Solution

The third proportional to 255,982 and 558,621 is: 1,219,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,982 : 558,621 = 558,621 : x
  2. Step 2: Convert to fraction form
    255,982/558,621 = 558,621/x
  3. Step 3: Cross multiply
    255,982x = 558,621 × 558,621
  4. Step 4: Simplify right side
    255,982x = 312,057,421,641
  5. Step 5: Solve for x
    x = 312,057,421,641/255,982
  6. Step 6: Final answer
    x = 1,219,060.02

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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.