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Finding the Third Proportional to 199,316.50 and 306,355.88

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Solution

The third proportional to 199,316.50 and 306,355.88 is: 470,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,316.50 : 306,355.88 = 306,355.88 : x
  2. Step 2: Convert to fraction form
    199,316.50/306,355.88 = 306,355.88/x
  3. Step 3: Cross multiply
    199,316.50x = 306,355.88 × 306,355.88
  4. Step 4: Simplify right side
    199,316.50x = 93,853,922,147.02
  5. Step 5: Solve for x
    x = 93,853,922,147.02/199,316.50
  6. Step 6: Final answer
    x = 470,878.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.