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Finding the Third Proportional to 455,722 and 997,209

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Solution

The third proportional to 455,722 and 997,209 is: 2,182,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,722 : 997,209 = 997,209 : x
  2. Step 2: Convert to fraction form
    455,722/997,209 = 997,209/x
  3. Step 3: Cross multiply
    455,722x = 997,209 × 997,209
  4. Step 4: Simplify right side
    455,722x = 994,425,789,681
  5. Step 5: Solve for x
    x = 994,425,789,681/455,722
  6. Step 6: Final answer
    x = 2,182,088.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.