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Finding the Third Proportional to 478,541 and 697,039

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Solution

The third proportional to 478,541 and 697,039 is: 1,015,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,541 : 697,039 = 697,039 : x
  2. Step 2: Convert to fraction form
    478,541/697,039 = 697,039/x
  3. Step 3: Cross multiply
    478,541x = 697,039 × 697,039
  4. Step 4: Simplify right side
    478,541x = 485,863,367,521
  5. Step 5: Solve for x
    x = 485,863,367,521/478,541
  6. Step 6: Final answer
    x = 1,015,301.44

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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.