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Finding the Third Proportional to 258,060 and 405,522

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Solution

The third proportional to 258,060 and 405,522 is: 637,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,060 : 405,522 = 405,522 : x
  2. Step 2: Convert to fraction form
    258,060/405,522 = 405,522/x
  3. Step 3: Cross multiply
    258,060x = 405,522 × 405,522
  4. Step 4: Simplify right side
    258,060x = 164,448,092,484
  5. Step 5: Solve for x
    x = 164,448,092,484/258,060
  6. Step 6: Final answer
    x = 637,247.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.