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Finding the Third Proportional to 210,825 and 456,642

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Solution

The third proportional to 210,825 and 456,642 is: 989,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,825 : 456,642 = 456,642 : x
  2. Step 2: Convert to fraction form
    210,825/456,642 = 456,642/x
  3. Step 3: Cross multiply
    210,825x = 456,642 × 456,642
  4. Step 4: Simplify right side
    210,825x = 208,521,916,164
  5. Step 5: Solve for x
    x = 208,521,916,164/210,825
  6. Step 6: Final answer
    x = 989,075.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.