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Finding the Third Proportional to 343,328 and 718,032

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Solution

The third proportional to 343,328 and 718,032 is: 1,501,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,328 : 718,032 = 718,032 : x
  2. Step 2: Convert to fraction form
    343,328/718,032 = 718,032/x
  3. Step 3: Cross multiply
    343,328x = 718,032 × 718,032
  4. Step 4: Simplify right side
    343,328x = 515,569,953,024
  5. Step 5: Solve for x
    x = 515,569,953,024/343,328
  6. Step 6: Final answer
    x = 1,501,683.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.