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Finding the Third Proportional to 84,004 and 129,973

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Solution

The third proportional to 84,004 and 129,973 is: 201,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,004 : 129,973 = 129,973 : x
  2. Step 2: Convert to fraction form
    84,004/129,973 = 129,973/x
  3. Step 3: Cross multiply
    84,004x = 129,973 × 129,973
  4. Step 4: Simplify right side
    84,004x = 16,892,980,729
  5. Step 5: Solve for x
    x = 16,892,980,729/84,004
  6. Step 6: Final answer
    x = 201,097.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.