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Finding the Third Proportional to 121,035 and 258,687

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Solution

The third proportional to 121,035 and 258,687 is: 552,889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,035 : 258,687 = 258,687 : x
  2. Step 2: Convert to fraction form
    121,035/258,687 = 258,687/x
  3. Step 3: Cross multiply
    121,035x = 258,687 × 258,687
  4. Step 4: Simplify right side
    121,035x = 66,918,963,969
  5. Step 5: Solve for x
    x = 66,918,963,969/121,035
  6. Step 6: Final answer
    x = 552,889.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.