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Finding the Third Proportional to 421,927 and 859,521

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Solution

The third proportional to 421,927 and 859,521 is: 1,750,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,927 : 859,521 = 859,521 : x
  2. Step 2: Convert to fraction form
    421,927/859,521 = 859,521/x
  3. Step 3: Cross multiply
    421,927x = 859,521 × 859,521
  4. Step 4: Simplify right side
    421,927x = 738,776,349,441
  5. Step 5: Solve for x
    x = 738,776,349,441/421,927
  6. Step 6: Final answer
    x = 1,750,957.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.