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Finding the Third Proportional to 533,214 and 817,640

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Solution

The third proportional to 533,214 and 817,640 is: 1,253,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,214 : 817,640 = 817,640 : x
  2. Step 2: Convert to fraction form
    533,214/817,640 = 817,640/x
  3. Step 3: Cross multiply
    533,214x = 817,640 × 817,640
  4. Step 4: Simplify right side
    533,214x = 668,535,169,600
  5. Step 5: Solve for x
    x = 668,535,169,600/533,214
  6. Step 6: Final answer
    x = 1,253,783.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.