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Finding the Third Proportional to 21,421.13 and 46,131.19

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Solution

The third proportional to 21,421.13 and 46,131.19 is: 99,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,421.13 : 46,131.19 = 46,131.19 : x
  2. Step 2: Convert to fraction form
    21,421.13/46,131.19 = 46,131.19/x
  3. Step 3: Cross multiply
    21,421.13x = 46,131.19 × 46,131.19
  4. Step 4: Simplify right side
    21,421.13x = 2,128,086,460.16
  5. Step 5: Solve for x
    x = 2,128,086,460.16/21,421.13
  6. Step 6: Final answer
    x = 99,345.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.