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Finding the Third Proportional to 41,044.50 and 61,476

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Solution

The third proportional to 41,044.50 and 61,476 is: 92,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,044.50 : 61,476 = 61,476 : x
  2. Step 2: Convert to fraction form
    41,044.50/61,476 = 61,476/x
  3. Step 3: Cross multiply
    41,044.50x = 61,476 × 61,476
  4. Step 4: Simplify right side
    41,044.50x = 3,779,298,576
  5. Step 5: Solve for x
    x = 3,779,298,576/41,044.50
  6. Step 6: Final answer
    x = 92,078.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.