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Finding the Third Proportional to 689,836.50 and 1,030,506.75

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Solution

The third proportional to 689,836.50 and 1,030,506.75 is: 1,539,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,836.50 : 1,030,506.75 = 1,030,506.75 : x
  2. Step 2: Convert to fraction form
    689,836.50/1,030,506.75 = 1,030,506.75/x
  3. Step 3: Cross multiply
    689,836.50x = 1,030,506.75 × 1,030,506.75
  4. Step 4: Simplify right side
    689,836.50x = 1,061,944,161,795.56
  5. Step 5: Solve for x
    x = 1,061,944,161,795.56/689,836.50
  6. Step 6: Final answer
    x = 1,539,414.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.