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Finding the Third Proportional to 336,784 and 522,935

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Solution

The third proportional to 336,784 and 522,935 is: 811,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,784 : 522,935 = 522,935 : x
  2. Step 2: Convert to fraction form
    336,784/522,935 = 522,935/x
  3. Step 3: Cross multiply
    336,784x = 522,935 × 522,935
  4. Step 4: Simplify right side
    336,784x = 273,461,014,225
  5. Step 5: Solve for x
    x = 273,461,014,225/336,784
  6. Step 6: Final answer
    x = 811,977.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.