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Finding the Third Proportional to 305,365 and 651,305

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Solution

The third proportional to 305,365 and 651,305 is: 1,389,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,365 : 651,305 = 651,305 : x
  2. Step 2: Convert to fraction form
    305,365/651,305 = 651,305/x
  3. Step 3: Cross multiply
    305,365x = 651,305 × 651,305
  4. Step 4: Simplify right side
    305,365x = 424,198,203,025
  5. Step 5: Solve for x
    x = 424,198,203,025/305,365
  6. Step 6: Final answer
    x = 1,389,151.35

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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.