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Finding the Third Proportional to 70,682.63 and 152,438.63

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Solution

The third proportional to 70,682.63 and 152,438.63 is: 328,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,682.63 : 152,438.63 = 152,438.63 : x
  2. Step 2: Convert to fraction form
    70,682.63/152,438.63 = 152,438.63/x
  3. Step 3: Cross multiply
    70,682.63x = 152,438.63 × 152,438.63
  4. Step 4: Simplify right side
    70,682.63x = 23,237,534,391.89
  5. Step 5: Solve for x
    x = 23,237,534,391.89/70,682.63
  6. Step 6: Final answer
    x = 328,758.79

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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.