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Finding the Third Proportional to 350,688 and 512,907

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Solution

The third proportional to 350,688 and 512,907 is: 750,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,688 : 512,907 = 512,907 : x
  2. Step 2: Convert to fraction form
    350,688/512,907 = 512,907/x
  3. Step 3: Cross multiply
    350,688x = 512,907 × 512,907
  4. Step 4: Simplify right side
    350,688x = 263,073,590,649
  5. Step 5: Solve for x
    x = 263,073,590,649/350,688
  6. Step 6: Final answer
    x = 750,164.22

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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.