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Finding the Third Proportional to 315,721 and 697,888

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Solution

The third proportional to 315,721 and 697,888 is: 1,542,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,721 : 697,888 = 697,888 : x
  2. Step 2: Convert to fraction form
    315,721/697,888 = 697,888/x
  3. Step 3: Cross multiply
    315,721x = 697,888 × 697,888
  4. Step 4: Simplify right side
    315,721x = 487,047,660,544
  5. Step 5: Solve for x
    x = 487,047,660,544/315,721
  6. Step 6: Final answer
    x = 1,542,652.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.