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Finding the Third Proportional to 4,957.50 and 10,779

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Solution

The third proportional to 4,957.50 and 10,779 is: 23,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.50 : 10,779 = 10,779 : x
  2. Step 2: Convert to fraction form
    4,957.50/10,779 = 10,779/x
  3. Step 3: Cross multiply
    4,957.50x = 10,779 × 10,779
  4. Step 4: Simplify right side
    4,957.50x = 116,186,841
  5. Step 5: Solve for x
    x = 116,186,841/4,957.50
  6. Step 6: Final answer
    x = 23,436.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.