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Finding the Third Proportional to 109,735 and 256,409

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Solution

The third proportional to 109,735 and 256,409 is: 599,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,735 : 256,409 = 256,409 : x
  2. Step 2: Convert to fraction form
    109,735/256,409 = 256,409/x
  3. Step 3: Cross multiply
    109,735x = 256,409 × 256,409
  4. Step 4: Simplify right side
    109,735x = 65,745,575,281
  5. Step 5: Solve for x
    x = 65,745,575,281/109,735
  6. Step 6: Final answer
    x = 599,130.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.