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Finding the Third Proportional to 455,679 and 997,174.13

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Solution

The third proportional to 455,679 and 997,174.13 is: 2,182,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,679 : 997,174.13 = 997,174.13 : x
  2. Step 2: Convert to fraction form
    455,679/997,174.13 = 997,174.13/x
  3. Step 3: Cross multiply
    455,679x = 997,174.13 × 997,174.13
  4. Step 4: Simplify right side
    455,679x = 994,356,235,569.52
  5. Step 5: Solve for x
    x = 994,356,235,569.52/455,679
  6. Step 6: Final answer
    x = 2,182,141.89

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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.