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Finding the Third Proportional to 117,319 and 256,154

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Solution

The third proportional to 117,319 and 256,154 is: 559,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,319 : 256,154 = 256,154 : x
  2. Step 2: Convert to fraction form
    117,319/256,154 = 256,154/x
  3. Step 3: Cross multiply
    117,319x = 256,154 × 256,154
  4. Step 4: Simplify right side
    117,319x = 65,614,871,716
  5. Step 5: Solve for x
    x = 65,614,871,716/117,319
  6. Step 6: Final answer
    x = 559,285.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.