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Finding the Third Proportional to 973.90 and 1,999.05

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Solution

The third proportional to 973.90 and 1,999.05 is: 4,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.90 : 1,999.05 = 1,999.05 : x
  2. Step 2: Convert to fraction form
    973.90/1,999.05 = 1,999.05/x
  3. Step 3: Cross multiply
    973.90x = 1,999.05 × 1,999.05
  4. Step 4: Simplify right side
    973.90x = 3,996,219.64
  5. Step 5: Solve for x
    x = 3,996,219.64/973.90
  6. Step 6: Final answer
    x = 4,103.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.