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Finding the Third Proportional to 699.47 and 1,088.02

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Solution

The third proportional to 699.47 and 1,088.02 is: 1,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.47 : 1,088.02 = 1,088.02 : x
  2. Step 2: Convert to fraction form
    699.47/1,088.02 = 1,088.02/x
  3. Step 3: Cross multiply
    699.47x = 1,088.02 × 1,088.02
  4. Step 4: Simplify right side
    699.47x = 1,183,778.00
  5. Step 5: Solve for x
    x = 1,183,778.00/699.47
  6. Step 6: Final answer
    x = 1,692.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.