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Finding the Third Proportional to 84,728 and 130,008

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Solution

The third proportional to 84,728 and 130,008 is: 199,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,728 : 130,008 = 130,008 : x
  2. Step 2: Convert to fraction form
    84,728/130,008 = 130,008/x
  3. Step 3: Cross multiply
    84,728x = 130,008 × 130,008
  4. Step 4: Simplify right side
    84,728x = 16,902,080,064
  5. Step 5: Solve for x
    x = 16,902,080,064/84,728
  6. Step 6: Final answer
    x = 199,486.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.