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Finding the Third Proportional to 258,336 and 557,440

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Solution

The third proportional to 258,336 and 557,440 is: 1,202,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,336 : 557,440 = 557,440 : x
  2. Step 2: Convert to fraction form
    258,336/557,440 = 557,440/x
  3. Step 3: Cross multiply
    258,336x = 557,440 × 557,440
  4. Step 4: Simplify right side
    258,336x = 310,739,353,600
  5. Step 5: Solve for x
    x = 310,739,353,600/258,336
  6. Step 6: Final answer
    x = 1,202,849.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.