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Finding the Third Proportional to 4,970 and 9,813

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Solution

The third proportional to 4,970 and 9,813 is: 19,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970 : 9,813 = 9,813 : x
  2. Step 2: Convert to fraction form
    4,970/9,813 = 9,813/x
  3. Step 3: Cross multiply
    4,970x = 9,813 × 9,813
  4. Step 4: Simplify right side
    4,970x = 96,294,969
  5. Step 5: Solve for x
    x = 96,294,969/4,970
  6. Step 6: Final answer
    x = 19,375.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.