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Finding the Third Proportional to 152,978.63 and 331,381.13

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Solution

The third proportional to 152,978.63 and 331,381.13 is: 717,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,978.63 : 331,381.13 = 331,381.13 : x
  2. Step 2: Convert to fraction form
    152,978.63/331,381.13 = 331,381.13/x
  3. Step 3: Cross multiply
    152,978.63x = 331,381.13 × 331,381.13
  4. Step 4: Simplify right side
    152,978.63x = 109,813,450,006.27
  5. Step 5: Solve for x
    x = 109,813,450,006.27/152,978.63
  6. Step 6: Final answer
    x = 717,835.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.