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Finding the Third Proportional to 134,710 and 283,388

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Solution

The third proportional to 134,710 and 283,388 is: 596,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,710 : 283,388 = 283,388 : x
  2. Step 2: Convert to fraction form
    134,710/283,388 = 283,388/x
  3. Step 3: Cross multiply
    134,710x = 283,388 × 283,388
  4. Step 4: Simplify right side
    134,710x = 80,308,758,544
  5. Step 5: Solve for x
    x = 80,308,758,544/134,710
  6. Step 6: Final answer
    x = 596,160.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.