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Finding the Third Proportional to 305,301 and 651,168

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Solution

The third proportional to 305,301 and 651,168 is: 1,388,858.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,301 : 651,168 = 651,168 : x
  2. Step 2: Convert to fraction form
    305,301/651,168 = 651,168/x
  3. Step 3: Cross multiply
    305,301x = 651,168 × 651,168
  4. Step 4: Simplify right side
    305,301x = 424,019,764,224
  5. Step 5: Solve for x
    x = 424,019,764,224/305,301
  6. Step 6: Final answer
    x = 1,388,858.09

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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.