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Finding the Third Proportional to 548,316 and 817,911

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Solution

The third proportional to 548,316 and 817,911 is: 1,220,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,316 : 817,911 = 817,911 : x
  2. Step 2: Convert to fraction form
    548,316/817,911 = 817,911/x
  3. Step 3: Cross multiply
    548,316x = 817,911 × 817,911
  4. Step 4: Simplify right side
    548,316x = 668,978,403,921
  5. Step 5: Solve for x
    x = 668,978,403,921/548,316
  6. Step 6: Final answer
    x = 1,220,059.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.