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Finding the Third Proportional to 258,088 and 555,721

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Solution

The third proportional to 258,088 and 555,721 is: 1,196,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,088 : 555,721 = 555,721 : x
  2. Step 2: Convert to fraction form
    258,088/555,721 = 555,721/x
  3. Step 3: Cross multiply
    258,088x = 555,721 × 555,721
  4. Step 4: Simplify right side
    258,088x = 308,825,829,841
  5. Step 5: Solve for x
    x = 308,825,829,841/258,088
  6. Step 6: Final answer
    x = 1,196,591.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.