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Finding the Third Proportional to 343,311 and 502,676

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Solution

The third proportional to 343,311 and 502,676 is: 736,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,311 : 502,676 = 502,676 : x
  2. Step 2: Convert to fraction form
    343,311/502,676 = 502,676/x
  3. Step 3: Cross multiply
    343,311x = 502,676 × 502,676
  4. Step 4: Simplify right side
    343,311x = 252,683,160,976
  5. Step 5: Solve for x
    x = 252,683,160,976/343,311
  6. Step 6: Final answer
    x = 736,018.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.