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Finding the Third Proportional to 343,620 and 739,672.50

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Solution

The third proportional to 343,620 and 739,672.50 is: 1,592,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,620 : 739,672.50 = 739,672.50 : x
  2. Step 2: Convert to fraction form
    343,620/739,672.50 = 739,672.50/x
  3. Step 3: Cross multiply
    343,620x = 739,672.50 × 739,672.50
  4. Step 4: Simplify right side
    343,620x = 547,115,407,256.25
  5. Step 5: Solve for x
    x = 547,115,407,256.25/343,620
  6. Step 6: Final answer
    x = 1,592,210.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.