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Finding the Third Proportional to 152,682 and 210,973

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Solution

The third proportional to 152,682 and 210,973 is: 291,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,682 : 210,973 = 210,973 : x
  2. Step 2: Convert to fraction form
    152,682/210,973 = 210,973/x
  3. Step 3: Cross multiply
    152,682x = 210,973 × 210,973
  4. Step 4: Simplify right side
    152,682x = 44,509,606,729
  5. Step 5: Solve for x
    x = 44,509,606,729/152,682
  6. Step 6: Final answer
    x = 291,518.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.