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Finding the Third Proportional to 840 and 1,303.88

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Solution

The third proportional to 840 and 1,303.88 is: 2,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    840 : 1,303.88 = 1,303.88 : x
  2. Step 2: Convert to fraction form
    840/1,303.88 = 1,303.88/x
  3. Step 3: Cross multiply
    840x = 1,303.88 × 1,303.88
  4. Step 4: Simplify right side
    840x = 1,700,090.02
  5. Step 5: Solve for x
    x = 1,700,090.02/840
  6. Step 6: Final answer
    x = 2,023.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.