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Finding the Third Proportional to 69,481 and 146,618

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Solution

The third proportional to 69,481 and 146,618 is: 309,391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,481 : 146,618 = 146,618 : x
  2. Step 2: Convert to fraction form
    69,481/146,618 = 146,618/x
  3. Step 3: Cross multiply
    69,481x = 146,618 × 146,618
  4. Step 4: Simplify right side
    69,481x = 21,496,837,924
  5. Step 5: Solve for x
    x = 21,496,837,924/69,481
  6. Step 6: Final answer
    x = 309,391.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.