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Finding the Third Proportional to 258,131 and 553,627

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Solution

The third proportional to 258,131 and 553,627 is: 1,187,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,131 : 553,627 = 553,627 : x
  2. Step 2: Convert to fraction form
    258,131/553,627 = 553,627/x
  3. Step 3: Cross multiply
    258,131x = 553,627 × 553,627
  4. Step 4: Simplify right side
    258,131x = 306,502,855,129
  5. Step 5: Solve for x
    x = 306,502,855,129/258,131
  6. Step 6: Final answer
    x = 1,187,392.66

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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.