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Finding the Third Proportional to 10,618 and 23,053

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Solution

The third proportional to 10,618 and 23,053 is: 50,050.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618 : 23,053 = 23,053 : x
  2. Step 2: Convert to fraction form
    10,618/23,053 = 23,053/x
  3. Step 3: Cross multiply
    10,618x = 23,053 × 23,053
  4. Step 4: Simplify right side
    10,618x = 531,440,809
  5. Step 5: Solve for x
    x = 531,440,809/10,618
  6. Step 6: Final answer
    x = 50,050.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.