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Finding the Third Proportional to 170,710 and 258,423

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Solution

The third proportional to 170,710 and 258,423 is: 391,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,710 : 258,423 = 258,423 : x
  2. Step 2: Convert to fraction form
    170,710/258,423 = 258,423/x
  3. Step 3: Cross multiply
    170,710x = 258,423 × 258,423
  4. Step 4: Simplify right side
    170,710x = 66,782,446,929
  5. Step 5: Solve for x
    x = 66,782,446,929/170,710
  6. Step 6: Final answer
    x = 391,204.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.