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Finding the Third Proportional to 343,995 and 531,328.50

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Solution

The third proportional to 343,995 and 531,328.50 is: 820,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,995 : 531,328.50 = 531,328.50 : x
  2. Step 2: Convert to fraction form
    343,995/531,328.50 = 531,328.50/x
  3. Step 3: Cross multiply
    343,995x = 531,328.50 × 531,328.50
  4. Step 4: Simplify right side
    343,995x = 282,309,974,912.25
  5. Step 5: Solve for x
    x = 282,309,974,912.25/343,995
  6. Step 6: Final answer
    x = 820,680.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.