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Finding the Third Proportional to 30,158.58 and 39,658.36

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Solution

The third proportional to 30,158.58 and 39,658.36 is: 52,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,158.58 : 39,658.36 = 39,658.36 : x
  2. Step 2: Convert to fraction form
    30,158.58/39,658.36 = 39,658.36/x
  3. Step 3: Cross multiply
    30,158.58x = 39,658.36 × 39,658.36
  4. Step 4: Simplify right side
    30,158.58x = 1,572,785,468.32
  5. Step 5: Solve for x
    x = 1,572,785,468.32/30,158.58
  6. Step 6: Final answer
    x = 52,150.52

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.