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Finding the Third Proportional to 174,618 and 258,653

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Solution

The third proportional to 174,618 and 258,653 is: 383,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,618 : 258,653 = 258,653 : x
  2. Step 2: Convert to fraction form
    174,618/258,653 = 258,653/x
  3. Step 3: Cross multiply
    174,618x = 258,653 × 258,653
  4. Step 4: Simplify right side
    174,618x = 66,901,374,409
  5. Step 5: Solve for x
    x = 66,901,374,409/174,618
  6. Step 6: Final answer
    x = 383,129.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.