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Finding the Third Proportional to 130,891 and 210,004

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Solution

The third proportional to 130,891 and 210,004 is: 336,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,891 : 210,004 = 210,004 : x
  2. Step 2: Convert to fraction form
    130,891/210,004 = 210,004/x
  3. Step 3: Cross multiply
    130,891x = 210,004 × 210,004
  4. Step 4: Simplify right side
    130,891x = 44,101,680,016
  5. Step 5: Solve for x
    x = 44,101,680,016/130,891
  6. Step 6: Final answer
    x = 336,934.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.