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Finding the Third Proportional to 123,369.75 and 256,430.25

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Solution

The third proportional to 123,369.75 and 256,430.25 is: 533,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,369.75 : 256,430.25 = 256,430.25 : x
  2. Step 2: Convert to fraction form
    123,369.75/256,430.25 = 256,430.25/x
  3. Step 3: Cross multiply
    123,369.75x = 256,430.25 × 256,430.25
  4. Step 4: Simplify right side
    123,369.75x = 65,756,473,115.06
  5. Step 5: Solve for x
    x = 65,756,473,115.06/123,369.75
  6. Step 6: Final answer
    x = 533,003.21

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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.