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Finding the Third Proportional to 66,316 and 102,836

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Solution

The third proportional to 66,316 and 102,836 is: 159,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,316 : 102,836 = 102,836 : x
  2. Step 2: Convert to fraction form
    66,316/102,836 = 102,836/x
  3. Step 3: Cross multiply
    66,316x = 102,836 × 102,836
  4. Step 4: Simplify right side
    66,316x = 10,575,242,896
  5. Step 5: Solve for x
    x = 10,575,242,896/66,316
  6. Step 6: Final answer
    x = 159,467.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.