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Finding the Third Proportional to 210,366 and 456,399

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Solution

The third proportional to 210,366 and 456,399 is: 990,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,366 : 456,399 = 456,399 : x
  2. Step 2: Convert to fraction form
    210,366/456,399 = 456,399/x
  3. Step 3: Cross multiply
    210,366x = 456,399 × 456,399
  4. Step 4: Simplify right side
    210,366x = 208,300,047,201
  5. Step 5: Solve for x
    x = 208,300,047,201/210,366
  6. Step 6: Final answer
    x = 990,179.25

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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.