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Finding the Third Proportional to 100,643.77 and 219,373.00

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Solution

The third proportional to 100,643.77 and 219,373.00 is: 478,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,643.77 : 219,373.00 = 219,373.00 : x
  2. Step 2: Convert to fraction form
    100,643.77/219,373.00 = 219,373.00/x
  3. Step 3: Cross multiply
    100,643.77x = 219,373.00 × 219,373.00
  4. Step 4: Simplify right side
    100,643.77x = 48,124,511,415.15
  5. Step 5: Solve for x
    x = 48,124,511,415.15/100,643.77
  6. Step 6: Final answer
    x = 478,166.84

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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.