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Finding the Third Proportional to 305,364 and 651,303

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Solution

The third proportional to 305,364 and 651,303 is: 1,389,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,364 : 651,303 = 651,303 : x
  2. Step 2: Convert to fraction form
    305,364/651,303 = 651,303/x
  3. Step 3: Cross multiply
    305,364x = 651,303 × 651,303
  4. Step 4: Simplify right side
    305,364x = 424,195,597,809
  5. Step 5: Solve for x
    x = 424,195,597,809/305,364
  6. Step 6: Final answer
    x = 1,389,147.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.