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Finding the Third Proportional to 19,705.78 and 40,332.30

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Solution

The third proportional to 19,705.78 and 40,332.30 is: 82,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.78 : 40,332.30 = 40,332.30 : x
  2. Step 2: Convert to fraction form
    19,705.78/40,332.30 = 40,332.30/x
  3. Step 3: Cross multiply
    19,705.78x = 40,332.30 × 40,332.30
  4. Step 4: Simplify right side
    19,705.78x = 1,626,694,801.41
  5. Step 5: Solve for x
    x = 1,626,694,801.41/19,705.78
  6. Step 6: Final answer
    x = 82,549.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.