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Finding the Third Proportional to 478,584 and 697,104

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Solution

The third proportional to 478,584 and 697,104 is: 1,015,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,584 : 697,104 = 697,104 : x
  2. Step 2: Convert to fraction form
    478,584/697,104 = 697,104/x
  3. Step 3: Cross multiply
    478,584x = 697,104 × 697,104
  4. Step 4: Simplify right side
    478,584x = 485,953,986,816
  5. Step 5: Solve for x
    x = 485,953,986,816/478,584
  6. Step 6: Final answer
    x = 1,015,399.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.