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Finding the Third Proportional to 100,858.50 and 219,465

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Solution

The third proportional to 100,858.50 and 219,465 is: 477,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,858.50 : 219,465 = 219,465 : x
  2. Step 2: Convert to fraction form
    100,858.50/219,465 = 219,465/x
  3. Step 3: Cross multiply
    100,858.50x = 219,465 × 219,465
  4. Step 4: Simplify right side
    100,858.50x = 48,164,886,225
  5. Step 5: Solve for x
    x = 48,164,886,225/100,858.50
  6. Step 6: Final answer
    x = 477,549.10

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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.