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Finding the Third Proportional to 19,986 and 43,572

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Solution

The third proportional to 19,986 and 43,572 is: 94,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986 : 43,572 = 43,572 : x
  2. Step 2: Convert to fraction form
    19,986/43,572 = 43,572/x
  3. Step 3: Cross multiply
    19,986x = 43,572 × 43,572
  4. Step 4: Simplify right side
    19,986x = 1,898,519,184
  5. Step 5: Solve for x
    x = 1,898,519,184/19,986
  6. Step 6: Final answer
    x = 94,992.45

Related Problems

Find third proportional to 9,993 and 21,786
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.