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Finding the Third Proportional to 69,817.78 and 149,477.06

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Solution

The third proportional to 69,817.78 and 149,477.06 is: 320,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,817.78 : 149,477.06 = 149,477.06 : x
  2. Step 2: Convert to fraction form
    69,817.78/149,477.06 = 149,477.06/x
  3. Step 3: Cross multiply
    69,817.78x = 149,477.06 × 149,477.06
  4. Step 4: Simplify right side
    69,817.78x = 22,343,392,213.63
  5. Step 5: Solve for x
    x = 22,343,392,213.63/69,817.78
  6. Step 6: Final answer
    x = 320,024.38

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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.