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Finding the Third Proportional to 312,057 and 456,977.25

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Solution

The third proportional to 312,057 and 456,977.25 is: 669,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,057 : 456,977.25 = 456,977.25 : x
  2. Step 2: Convert to fraction form
    312,057/456,977.25 = 456,977.25/x
  3. Step 3: Cross multiply
    312,057x = 456,977.25 × 456,977.25
  4. Step 4: Simplify right side
    312,057x = 208,828,207,017.56
  5. Step 5: Solve for x
    x = 208,828,207,017.56/312,057
  6. Step 6: Final answer
    x = 669,198.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.