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Finding the Third Proportional to 343,940.25 and 712,180.50

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Solution

The third proportional to 343,940.25 and 712,180.50 is: 1,474,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,940.25 : 712,180.50 = 712,180.50 : x
  2. Step 2: Convert to fraction form
    343,940.25/712,180.50 = 712,180.50/x
  3. Step 3: Cross multiply
    343,940.25x = 712,180.50 × 712,180.50
  4. Step 4: Simplify right side
    343,940.25x = 507,201,064,580.25
  5. Step 5: Solve for x
    x = 507,201,064,580.25/343,940.25
  6. Step 6: Final answer
    x = 1,474,677.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.