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Finding the Third Proportional to 678,161.25 and 923,539.50

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Solution

The third proportional to 678,161.25 and 923,539.50 is: 1,257,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,161.25 : 923,539.50 = 923,539.50 : x
  2. Step 2: Convert to fraction form
    678,161.25/923,539.50 = 923,539.50/x
  3. Step 3: Cross multiply
    678,161.25x = 923,539.50 × 923,539.50
  4. Step 4: Simplify right side
    678,161.25x = 852,925,208,060.25
  5. Step 5: Solve for x
    x = 852,925,208,060.25/678,161.25
  6. Step 6: Final answer
    x = 1,257,702.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.