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Finding the Third Proportional to 313,773.75 and 677,848.50

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Solution

The third proportional to 313,773.75 and 677,848.50 is: 1,464,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,773.75 : 677,848.50 = 677,848.50 : x
  2. Step 2: Convert to fraction form
    313,773.75/677,848.50 = 677,848.50/x
  3. Step 3: Cross multiply
    313,773.75x = 677,848.50 × 677,848.50
  4. Step 4: Simplify right side
    313,773.75x = 459,478,588,952.25
  5. Step 5: Solve for x
    x = 459,478,588,952.25/313,773.75
  6. Step 6: Final answer
    x = 1,464,362.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.