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Finding the Third Proportional to 219,661 and 456,817

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Solution

The third proportional to 219,661 and 456,817 is: 950,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,661 : 456,817 = 456,817 : x
  2. Step 2: Convert to fraction form
    219,661/456,817 = 456,817/x
  3. Step 3: Cross multiply
    219,661x = 456,817 × 456,817
  4. Step 4: Simplify right side
    219,661x = 208,681,771,489
  5. Step 5: Solve for x
    x = 208,681,771,489/219,661
  6. Step 6: Final answer
    x = 950,017.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.