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Finding the Third Proportional to 690,099 and 1,047,561.75

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Solution

The third proportional to 690,099 and 1,047,561.75 is: 1,590,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,099 : 1,047,561.75 = 1,047,561.75 : x
  2. Step 2: Convert to fraction form
    690,099/1,047,561.75 = 1,047,561.75/x
  3. Step 3: Cross multiply
    690,099x = 1,047,561.75 × 1,047,561.75
  4. Step 4: Simplify right side
    690,099x = 1,097,385,620,063.06
  5. Step 5: Solve for x
    x = 1,097,385,620,063.06/690,099
  6. Step 6: Final answer
    x = 1,590,185.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.