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Finding the Third Proportional to 387,200 and 623,784

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Solution

The third proportional to 387,200 and 623,784 is: 1,004,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,200 : 623,784 = 623,784 : x
  2. Step 2: Convert to fraction form
    387,200/623,784 = 623,784/x
  3. Step 3: Cross multiply
    387,200x = 623,784 × 623,784
  4. Step 4: Simplify right side
    387,200x = 389,106,478,656
  5. Step 5: Solve for x
    x = 389,106,478,656/387,200
  6. Step 6: Final answer
    x = 1,004,923.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.