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Finding the Third Proportional to 210,912 and 325,680

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Solution

The third proportional to 210,912 and 325,680 is: 502,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,912 : 325,680 = 325,680 : x
  2. Step 2: Convert to fraction form
    210,912/325,680 = 325,680/x
  3. Step 3: Cross multiply
    210,912x = 325,680 × 325,680
  4. Step 4: Simplify right side
    210,912x = 106,067,462,400
  5. Step 5: Solve for x
    x = 106,067,462,400/210,912
  6. Step 6: Final answer
    x = 502,899.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.