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Finding the Third Proportional to 150,516 and 321,784

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Solution

The third proportional to 150,516 and 321,784 is: 687,933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,516 : 321,784 = 321,784 : x
  2. Step 2: Convert to fraction form
    150,516/321,784 = 321,784/x
  3. Step 3: Cross multiply
    150,516x = 321,784 × 321,784
  4. Step 4: Simplify right side
    150,516x = 103,544,942,656
  5. Step 5: Solve for x
    x = 103,544,942,656/150,516
  6. Step 6: Final answer
    x = 687,933.13

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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.