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Finding the Third Proportional to 210,498 and 321,000

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Solution

The third proportional to 210,498 and 321,000 is: 489,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,498 : 321,000 = 321,000 : x
  2. Step 2: Convert to fraction form
    210,498/321,000 = 321,000/x
  3. Step 3: Cross multiply
    210,498x = 321,000 × 321,000
  4. Step 4: Simplify right side
    210,498x = 103,041,000,000
  5. Step 5: Solve for x
    x = 103,041,000,000/210,498
  6. Step 6: Final answer
    x = 489,510.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.