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Finding the Third Proportional to 258,803 and 548,710

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Solution

The third proportional to 258,803 and 548,710 is: 1,163,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,803 : 548,710 = 548,710 : x
  2. Step 2: Convert to fraction form
    258,803/548,710 = 548,710/x
  3. Step 3: Cross multiply
    258,803x = 548,710 × 548,710
  4. Step 4: Simplify right side
    258,803x = 301,082,664,100
  5. Step 5: Solve for x
    x = 301,082,664,100/258,803
  6. Step 6: Final answer
    x = 1,163,366.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.