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Finding the Third Proportional to 45,213 and 66,898

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Solution

The third proportional to 45,213 and 66,898 is: 98,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,213 : 66,898 = 66,898 : x
  2. Step 2: Convert to fraction form
    45,213/66,898 = 66,898/x
  3. Step 3: Cross multiply
    45,213x = 66,898 × 66,898
  4. Step 4: Simplify right side
    45,213x = 4,475,342,404
  5. Step 5: Solve for x
    x = 4,475,342,404/45,213
  6. Step 6: Final answer
    x = 98,983.53

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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.