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Finding the Third Proportional to 319,868.25 and 684,021

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Solution

The third proportional to 319,868.25 and 684,021 is: 1,462,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,868.25 : 684,021 = 684,021 : x
  2. Step 2: Convert to fraction form
    319,868.25/684,021 = 684,021/x
  3. Step 3: Cross multiply
    319,868.25x = 684,021 × 684,021
  4. Step 4: Simplify right side
    319,868.25x = 467,884,728,441
  5. Step 5: Solve for x
    x = 467,884,728,441/319,868.25
  6. Step 6: Final answer
    x = 1,462,742.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.