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Finding the Third Proportional to 547,971 and 859,821

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Solution

The third proportional to 547,971 and 859,821 is: 1,349,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,971 : 859,821 = 859,821 : x
  2. Step 2: Convert to fraction form
    547,971/859,821 = 859,821/x
  3. Step 3: Cross multiply
    547,971x = 859,821 × 859,821
  4. Step 4: Simplify right side
    547,971x = 739,292,152,041
  5. Step 5: Solve for x
    x = 739,292,152,041/547,971
  6. Step 6: Final answer
    x = 1,349,144.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.