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Finding the Third Proportional to 305,916.75 and 661,038.75

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Solution

The third proportional to 305,916.75 and 661,038.75 is: 1,428,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,916.75 : 661,038.75 = 661,038.75 : x
  2. Step 2: Convert to fraction form
    305,916.75/661,038.75 = 661,038.75/x
  3. Step 3: Cross multiply
    305,916.75x = 661,038.75 × 661,038.75
  4. Step 4: Simplify right side
    305,916.75x = 436,972,229,001.56
  5. Step 5: Solve for x
    x = 436,972,229,001.56/305,916.75
  6. Step 6: Final answer
    x = 1,428,402.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.