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Finding the Third Proportional to 25,815 and 39,700.50

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Solution

The third proportional to 25,815 and 39,700.50 is: 61,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,815 : 39,700.50 = 39,700.50 : x
  2. Step 2: Convert to fraction form
    25,815/39,700.50 = 39,700.50/x
  3. Step 3: Cross multiply
    25,815x = 39,700.50 × 39,700.50
  4. Step 4: Simplify right side
    25,815x = 1,576,129,700.25
  5. Step 5: Solve for x
    x = 1,576,129,700.25/25,815
  6. Step 6: Final answer
    x = 61,054.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.