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Finding the Third Proportional to 77,040 and 164,955

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Solution

The third proportional to 77,040 and 164,955 is: 353,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,040 : 164,955 = 164,955 : x
  2. Step 2: Convert to fraction form
    77,040/164,955 = 164,955/x
  3. Step 3: Cross multiply
    77,040x = 164,955 × 164,955
  4. Step 4: Simplify right side
    77,040x = 27,210,152,025
  5. Step 5: Solve for x
    x = 27,210,152,025/77,040
  6. Step 6: Final answer
    x = 353,195.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.