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Finding the Third Proportional to 478,538 and 697,035

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Solution

The third proportional to 478,538 and 697,035 is: 1,015,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,538 : 697,035 = 697,035 : x
  2. Step 2: Convert to fraction form
    478,538/697,035 = 697,035/x
  3. Step 3: Cross multiply
    478,538x = 697,035 × 697,035
  4. Step 4: Simplify right side
    478,538x = 485,857,791,225
  5. Step 5: Solve for x
    x = 485,857,791,225/478,538
  6. Step 6: Final answer
    x = 1,015,296.15

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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.