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Finding the Third Proportional to 117,423 and 258,642

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Solution

The third proportional to 117,423 and 258,642 is: 569,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,423 : 258,642 = 258,642 : x
  2. Step 2: Convert to fraction form
    117,423/258,642 = 258,642/x
  3. Step 3: Cross multiply
    117,423x = 258,642 × 258,642
  4. Step 4: Simplify right side
    117,423x = 66,895,684,164
  5. Step 5: Solve for x
    x = 66,895,684,164/117,423
  6. Step 6: Final answer
    x = 569,698.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.