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Finding the Third Proportional to 459,740 and 690,240

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Solution

The third proportional to 459,740 and 690,240 is: 1,036,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,740 : 690,240 = 690,240 : x
  2. Step 2: Convert to fraction form
    459,740/690,240 = 690,240/x
  3. Step 3: Cross multiply
    459,740x = 690,240 × 690,240
  4. Step 4: Simplify right side
    459,740x = 476,431,257,600
  5. Step 5: Solve for x
    x = 476,431,257,600/459,740
  6. Step 6: Final answer
    x = 1,036,305.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.