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Finding the Third Proportional to 52,912 and 110,208

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Solution

The third proportional to 52,912 and 110,208 is: 229,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,912 : 110,208 = 110,208 : x
  2. Step 2: Convert to fraction form
    52,912/110,208 = 110,208/x
  3. Step 3: Cross multiply
    52,912x = 110,208 × 110,208
  4. Step 4: Simplify right side
    52,912x = 12,145,803,264
  5. Step 5: Solve for x
    x = 12,145,803,264/52,912
  6. Step 6: Final answer
    x = 229,547.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.