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Finding the Third Proportional to 6,124.50 and 9,732.94

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Solution

The third proportional to 6,124.50 and 9,732.94 is: 15,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.50 : 9,732.94 = 9,732.94 : x
  2. Step 2: Convert to fraction form
    6,124.50/9,732.94 = 9,732.94/x
  3. Step 3: Cross multiply
    6,124.50x = 9,732.94 × 9,732.94
  4. Step 4: Simplify right side
    6,124.50x = 94,730,072.38
  5. Step 5: Solve for x
    x = 94,730,072.38/6,124.50
  6. Step 6: Final answer
    x = 15,467.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.