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Finding the Third Proportional to 103,643.63 and 219,742.13

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Solution

The third proportional to 103,643.63 and 219,742.13 is: 465,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,643.63 : 219,742.13 = 219,742.13 : x
  2. Step 2: Convert to fraction form
    103,643.63/219,742.13 = 219,742.13/x
  3. Step 3: Cross multiply
    103,643.63x = 219,742.13 × 219,742.13
  4. Step 4: Simplify right side
    103,643.63x = 48,286,601,499.52
  5. Step 5: Solve for x
    x = 48,286,601,499.52/103,643.63
  6. Step 6: Final answer
    x = 465,890.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.