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Finding the Third Proportional to 448,977.09 and 697,077.56

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Solution

The third proportional to 448,977.09 and 697,077.56 is: 1,082,275.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,977.09 : 697,077.56 = 697,077.56 : x
  2. Step 2: Convert to fraction form
    448,977.09/697,077.56 = 697,077.56/x
  3. Step 3: Cross multiply
    448,977.09x = 697,077.56 × 697,077.56
  4. Step 4: Simplify right side
    448,977.09x = 485,917,128,140.94
  5. Step 5: Solve for x
    x = 485,917,128,140.94/448,977.09
  6. Step 6: Final answer
    x = 1,082,275.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.