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Finding the Third Proportional to 258,708 and 555,216

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Solution

The third proportional to 258,708 and 555,216 is: 1,191,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,708 : 555,216 = 555,216 : x
  2. Step 2: Convert to fraction form
    258,708/555,216 = 555,216/x
  3. Step 3: Cross multiply
    258,708x = 555,216 × 555,216
  4. Step 4: Simplify right side
    258,708x = 308,264,806,656
  5. Step 5: Solve for x
    x = 308,264,806,656/258,708
  6. Step 6: Final answer
    x = 1,191,554.98

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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.