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Finding the Third Proportional to 455,352.75 and 990,967.50

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Solution

The third proportional to 455,352.75 and 990,967.50 is: 2,156,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,352.75 : 990,967.50 = 990,967.50 : x
  2. Step 2: Convert to fraction form
    455,352.75/990,967.50 = 990,967.50/x
  3. Step 3: Cross multiply
    455,352.75x = 990,967.50 × 990,967.50
  4. Step 4: Simplify right side
    455,352.75x = 982,016,586,056.25
  5. Step 5: Solve for x
    x = 982,016,586,056.25/455,352.75
  6. Step 6: Final answer
    x = 2,156,606.25

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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.