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Finding the Third Proportional to 258,210 and 371,898

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Solution

The third proportional to 258,210 and 371,898 is: 535,642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,210 : 371,898 = 371,898 : x
  2. Step 2: Convert to fraction form
    258,210/371,898 = 371,898/x
  3. Step 3: Cross multiply
    258,210x = 371,898 × 371,898
  4. Step 4: Simplify right side
    258,210x = 138,308,122,404
  5. Step 5: Solve for x
    x = 138,308,122,404/258,210
  6. Step 6: Final answer
    x = 535,642.01

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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.