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Finding the Third Proportional to 99,621.56 and 214,985.81

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Solution

The third proportional to 99,621.56 and 214,985.81 is: 463,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,621.56 : 214,985.81 = 214,985.81 : x
  2. Step 2: Convert to fraction form
    99,621.56/214,985.81 = 214,985.81/x
  3. Step 3: Cross multiply
    99,621.56x = 214,985.81 × 214,985.81
  4. Step 4: Simplify right side
    99,621.56x = 46,218,899,576.29
  5. Step 5: Solve for x
    x = 46,218,899,576.29/99,621.56
  6. Step 6: Final answer
    x = 463,944.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.