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Finding the Third Proportional to 210,450 and 283,587

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Solution

The third proportional to 210,450 and 283,587 is: 382,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,450 : 283,587 = 283,587 : x
  2. Step 2: Convert to fraction form
    210,450/283,587 = 283,587/x
  3. Step 3: Cross multiply
    210,450x = 283,587 × 283,587
  4. Step 4: Simplify right side
    210,450x = 80,421,586,569
  5. Step 5: Solve for x
    x = 80,421,586,569/210,450
  6. Step 6: Final answer
    x = 382,141.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.