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Finding the Third Proportional to 122,798 and 258,637

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Solution

The third proportional to 122,798 and 258,637 is: 544,740.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,798 : 258,637 = 258,637 : x
  2. Step 2: Convert to fraction form
    122,798/258,637 = 258,637/x
  3. Step 3: Cross multiply
    122,798x = 258,637 × 258,637
  4. Step 4: Simplify right side
    122,798x = 66,893,097,769
  5. Step 5: Solve for x
    x = 66,893,097,769/122,798
  6. Step 6: Final answer
    x = 544,740.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.