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Finding the Third Proportional to 693.84 and 1,117.69

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Solution

The third proportional to 693.84 and 1,117.69 is: 1,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.84 : 1,117.69 = 1,117.69 : x
  2. Step 2: Convert to fraction form
    693.84/1,117.69 = 1,117.69/x
  3. Step 3: Cross multiply
    693.84x = 1,117.69 × 1,117.69
  4. Step 4: Simplify right side
    693.84x = 1,249,225.35
  5. Step 5: Solve for x
    x = 1,249,225.35/693.84
  6. Step 6: Final answer
    x = 1,800.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.