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Finding the Third Proportional to 66,556 and 145,393

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Solution

The third proportional to 66,556 and 145,393 is: 317,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,556 : 145,393 = 145,393 : x
  2. Step 2: Convert to fraction form
    66,556/145,393 = 145,393/x
  3. Step 3: Cross multiply
    66,556x = 145,393 × 145,393
  4. Step 4: Simplify right side
    66,556x = 21,139,124,449
  5. Step 5: Solve for x
    x = 21,139,124,449/66,556
  6. Step 6: Final answer
    x = 317,614.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.