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Finding the Third Proportional to 320,685.75 and 677,416.50

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Solution

The third proportional to 320,685.75 and 677,416.50 is: 1,430,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,685.75 : 677,416.50 = 677,416.50 : x
  2. Step 2: Convert to fraction form
    320,685.75/677,416.50 = 677,416.50/x
  3. Step 3: Cross multiply
    320,685.75x = 677,416.50 × 677,416.50
  4. Step 4: Simplify right side
    320,685.75x = 458,893,114,472.25
  5. Step 5: Solve for x
    x = 458,893,114,472.25/320,685.75
  6. Step 6: Final answer
    x = 1,430,974.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.