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Finding the Third Proportional to 123,480.07 and 256,647.87

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Solution

The third proportional to 123,480.07 and 256,647.87 is: 533,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,480.07 : 256,647.87 = 256,647.87 : x
  2. Step 2: Convert to fraction form
    123,480.07/256,647.87 = 256,647.87/x
  3. Step 3: Cross multiply
    123,480.07x = 256,647.87 × 256,647.87
  4. Step 4: Simplify right side
    123,480.07x = 65,868,127,731.89
  5. Step 5: Solve for x
    x = 65,868,127,731.89/123,480.07
  6. Step 6: Final answer
    x = 533,431.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.