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Finding the Third Proportional to 77,213 and 166,729

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Solution

The third proportional to 77,213 and 166,729 is: 360,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,213 : 166,729 = 166,729 : x
  2. Step 2: Convert to fraction form
    77,213/166,729 = 166,729/x
  3. Step 3: Cross multiply
    77,213x = 166,729 × 166,729
  4. Step 4: Simplify right side
    77,213x = 27,798,559,441
  5. Step 5: Solve for x
    x = 27,798,559,441/77,213
  6. Step 6: Final answer
    x = 360,024.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.