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Finding the Third Proportional to 123,503.06 and 256,695.75

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Solution

The third proportional to 123,503.06 and 256,695.75 is: 533,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,503.06 : 256,695.75 = 256,695.75 : x
  2. Step 2: Convert to fraction form
    123,503.06/256,695.75 = 256,695.75/x
  3. Step 3: Cross multiply
    123,503.06x = 256,695.75 × 256,695.75
  4. Step 4: Simplify right side
    123,503.06x = 65,892,708,068.06
  5. Step 5: Solve for x
    x = 65,892,708,068.06/123,503.06
  6. Step 6: Final answer
    x = 533,530.96

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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.