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Finding the Third Proportional to 987.63 and 2,133.63

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Solution

The third proportional to 987.63 and 2,133.63 is: 4,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.63 : 2,133.63 = 2,133.63 : x
  2. Step 2: Convert to fraction form
    987.63/2,133.63 = 2,133.63/x
  3. Step 3: Cross multiply
    987.63x = 2,133.63 × 2,133.63
  4. Step 4: Simplify right side
    987.63x = 4,552,355.64
  5. Step 5: Solve for x
    x = 4,552,355.64/987.63
  6. Step 6: Final answer
    x = 4,609.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.