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Finding the Third Proportional to 677,430 and 1,039,569

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Solution

The third proportional to 677,430 and 1,039,569 is: 1,595,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,430 : 1,039,569 = 1,039,569 : x
  2. Step 2: Convert to fraction form
    677,430/1,039,569 = 1,039,569/x
  3. Step 3: Cross multiply
    677,430x = 1,039,569 × 1,039,569
  4. Step 4: Simplify right side
    677,430x = 1,080,703,705,761
  5. Step 5: Solve for x
    x = 1,080,703,705,761/677,430
  6. Step 6: Final answer
    x = 1,595,299.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.