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Finding the Third Proportional to 692,770.50 and 1,103,186.25

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Solution

The third proportional to 692,770.50 and 1,103,186.25 is: 1,756,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,770.50 : 1,103,186.25 = 1,103,186.25 : x
  2. Step 2: Convert to fraction form
    692,770.50/1,103,186.25 = 1,103,186.25/x
  3. Step 3: Cross multiply
    692,770.50x = 1,103,186.25 × 1,103,186.25
  4. Step 4: Simplify right side
    692,770.50x = 1,217,019,902,189.06
  5. Step 5: Solve for x
    x = 1,217,019,902,189.06/692,770.50
  6. Step 6: Final answer
    x = 1,756,743.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.