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Finding the Third Proportional to 464,485.96 and 678,804.84

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Solution

The third proportional to 464,485.96 and 678,804.84 is: 992,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,485.96 : 678,804.84 = 678,804.84 : x
  2. Step 2: Convert to fraction form
    464,485.96/678,804.84 = 678,804.84/x
  3. Step 3: Cross multiply
    464,485.96x = 678,804.84 × 678,804.84
  4. Step 4: Simplify right side
    464,485.96x = 460,776,007,943.68
  5. Step 5: Solve for x
    x = 460,776,007,943.68/464,485.96
  6. Step 6: Final answer
    x = 992,012.79

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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.