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Finding the Third Proportional to 123,205.50 and 264,811.50

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Solution

The third proportional to 123,205.50 and 264,811.50 is: 569,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,205.50 : 264,811.50 = 264,811.50 : x
  2. Step 2: Convert to fraction form
    123,205.50/264,811.50 = 264,811.50/x
  3. Step 3: Cross multiply
    123,205.50x = 264,811.50 × 264,811.50
  4. Step 4: Simplify right side
    123,205.50x = 70,125,130,532.25
  5. Step 5: Solve for x
    x = 70,125,130,532.25/123,205.50
  6. Step 6: Final answer
    x = 569,172.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.