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Finding the Third Proportional to 464,509.69 and 678,840.75

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Solution

The third proportional to 464,509.69 and 678,840.75 is: 992,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,509.69 : 678,840.75 = 678,840.75 : x
  2. Step 2: Convert to fraction form
    464,509.69/678,840.75 = 678,840.75/x
  3. Step 3: Cross multiply
    464,509.69x = 678,840.75 × 678,840.75
  4. Step 4: Simplify right side
    464,509.69x = 460,824,763,860.56
  5. Step 5: Solve for x
    x = 460,824,763,860.56/464,509.69
  6. Step 6: Final answer
    x = 992,067.07

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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.