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Finding the Third Proportional to 258,706 and 555,212

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Solution

The third proportional to 258,706 and 555,212 is: 1,191,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,706 : 555,212 = 555,212 : x
  2. Step 2: Convert to fraction form
    258,706/555,212 = 555,212/x
  3. Step 3: Cross multiply
    258,706x = 555,212 × 555,212
  4. Step 4: Simplify right side
    258,706x = 308,260,364,944
  5. Step 5: Solve for x
    x = 308,260,364,944/258,706
  6. Step 6: Final answer
    x = 1,191,547.03

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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.