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Finding the Third Proportional to 122,706.98 and 256,530.80

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Solution

The third proportional to 122,706.98 and 256,530.80 is: 536,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,706.98 : 256,530.80 = 256,530.80 : x
  2. Step 2: Convert to fraction form
    122,706.98/256,530.80 = 256,530.80/x
  3. Step 3: Cross multiply
    122,706.98x = 256,530.80 × 256,530.80
  4. Step 4: Simplify right side
    122,706.98x = 65,808,049,745.32
  5. Step 5: Solve for x
    x = 65,808,049,745.32/122,706.98
  6. Step 6: Final answer
    x = 536,302.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.