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Finding the Third Proportional to 318,137.63 and 658,428.75

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Solution

The third proportional to 318,137.63 and 658,428.75 is: 1,362,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,137.63 : 658,428.75 = 658,428.75 : x
  2. Step 2: Convert to fraction form
    318,137.63/658,428.75 = 658,428.75/x
  3. Step 3: Cross multiply
    318,137.63x = 658,428.75 × 658,428.75
  4. Step 4: Simplify right side
    318,137.63x = 433,528,418,826.56
  5. Step 5: Solve for x
    x = 433,528,418,826.56/318,137.63
  6. Step 6: Final answer
    x = 1,362,707.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.