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Finding the Third Proportional to 18,732.52 and 39,570.40

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Solution

The third proportional to 18,732.52 and 39,570.40 is: 83,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,732.52 : 39,570.40 = 39,570.40 : x
  2. Step 2: Convert to fraction form
    18,732.52/39,570.40 = 39,570.40/x
  3. Step 3: Cross multiply
    18,732.52x = 39,570.40 × 39,570.40
  4. Step 4: Simplify right side
    18,732.52x = 1,565,816,432.50
  5. Step 5: Solve for x
    x = 1,565,816,432.50/18,732.52
  6. Step 6: Final answer
    x = 83,588.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.