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Finding the Third Proportional to 77,469.75 and 161,897.06

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Solution

The third proportional to 77,469.75 and 161,897.06 is: 338,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,469.75 : 161,897.06 = 161,897.06 : x
  2. Step 2: Convert to fraction form
    77,469.75/161,897.06 = 161,897.06/x
  3. Step 3: Cross multiply
    77,469.75x = 161,897.06 × 161,897.06
  4. Step 4: Simplify right side
    77,469.75x = 26,210,658,846.13
  5. Step 5: Solve for x
    x = 26,210,658,846.13/77,469.75
  6. Step 6: Final answer
    x = 338,334.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.