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Finding the Third Proportional to 688.63 and 981.63

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Solution

The third proportional to 688.63 and 981.63 is: 1,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.63 : 981.63 = 981.63 : x
  2. Step 2: Convert to fraction form
    688.63/981.63 = 981.63/x
  3. Step 3: Cross multiply
    688.63x = 981.63 × 981.63
  4. Step 4: Simplify right side
    688.63x = 963,587.64
  5. Step 5: Solve for x
    x = 963,587.64/688.63
  6. Step 6: Final answer
    x = 1,399.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.