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Finding the Third Proportional to 25,830 and 39,913

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Solution

The third proportional to 25,830 and 39,913 is: 61,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830 : 39,913 = 39,913 : x
  2. Step 2: Convert to fraction form
    25,830/39,913 = 39,913/x
  3. Step 3: Cross multiply
    25,830x = 39,913 × 39,913
  4. Step 4: Simplify right side
    25,830x = 1,593,047,569
  5. Step 5: Solve for x
    x = 1,593,047,569/25,830
  6. Step 6: Final answer
    x = 61,674.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.