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Finding the Third Proportional to 113,918.63 and 172,576.69

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Solution

The third proportional to 113,918.63 and 172,576.69 is: 261,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,918.63 : 172,576.69 = 172,576.69 : x
  2. Step 2: Convert to fraction form
    113,918.63/172,576.69 = 172,576.69/x
  3. Step 3: Cross multiply
    113,918.63x = 172,576.69 × 172,576.69
  4. Step 4: Simplify right side
    113,918.63x = 29,782,713,068.47
  5. Step 5: Solve for x
    x = 29,782,713,068.47/113,918.63
  6. Step 6: Final answer
    x = 261,438.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.