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Finding the Third Proportional to 128,308 and 281,402

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Solution

The third proportional to 128,308 and 281,402 is: 617,164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,308 : 281,402 = 281,402 : x
  2. Step 2: Convert to fraction form
    128,308/281,402 = 281,402/x
  3. Step 3: Cross multiply
    128,308x = 281,402 × 281,402
  4. Step 4: Simplify right side
    128,308x = 79,187,085,604
  5. Step 5: Solve for x
    x = 79,187,085,604/128,308
  6. Step 6: Final answer
    x = 617,164.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.