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Finding the Third Proportional to 66,564 and 145,412

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Solution

The third proportional to 66,564 and 145,412 is: 317,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,564 : 145,412 = 145,412 : x
  2. Step 2: Convert to fraction form
    66,564/145,412 = 145,412/x
  3. Step 3: Cross multiply
    66,564x = 145,412 × 145,412
  4. Step 4: Simplify right side
    66,564x = 21,144,649,744
  5. Step 5: Solve for x
    x = 21,144,649,744/66,564
  6. Step 6: Final answer
    x = 317,658.94

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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.