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Finding the Third Proportional to 343,364 and 745,834

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Solution

The third proportional to 343,364 and 745,834 is: 1,620,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,364 : 745,834 = 745,834 : x
  2. Step 2: Convert to fraction form
    343,364/745,834 = 745,834/x
  3. Step 3: Cross multiply
    343,364x = 745,834 × 745,834
  4. Step 4: Simplify right side
    343,364x = 556,268,355,556
  5. Step 5: Solve for x
    x = 556,268,355,556/343,364
  6. Step 6: Final answer
    x = 1,620,054.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.