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Finding the Third Proportional to 258,808 and 548,720

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Solution

The third proportional to 258,808 and 548,720 is: 1,163,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,808 : 548,720 = 548,720 : x
  2. Step 2: Convert to fraction form
    258,808/548,720 = 548,720/x
  3. Step 3: Cross multiply
    258,808x = 548,720 × 548,720
  4. Step 4: Simplify right side
    258,808x = 301,093,638,400
  5. Step 5: Solve for x
    x = 301,093,638,400/258,808
  6. Step 6: Final answer
    x = 1,163,386.13

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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.