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Finding the Third Proportional to 258,186 and 371,862

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Solution

The third proportional to 258,186 and 371,862 is: 535,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,186 : 371,862 = 371,862 : x
  2. Step 2: Convert to fraction form
    258,186/371,862 = 371,862/x
  3. Step 3: Cross multiply
    258,186x = 371,862 × 371,862
  4. Step 4: Simplify right side
    258,186x = 138,281,347,044
  5. Step 5: Solve for x
    x = 138,281,347,044/258,186
  6. Step 6: Final answer
    x = 535,588.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.