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Finding the Third Proportional to 25,357.50 and 39,420

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Solution

The third proportional to 25,357.50 and 39,420 is: 61,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,357.50 : 39,420 = 39,420 : x
  2. Step 2: Convert to fraction form
    25,357.50/39,420 = 39,420/x
  3. Step 3: Cross multiply
    25,357.50x = 39,420 × 39,420
  4. Step 4: Simplify right side
    25,357.50x = 1,553,936,400
  5. Step 5: Solve for x
    x = 1,553,936,400/25,357.50
  6. Step 6: Final answer
    x = 61,281.14

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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.