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Finding the Third Proportional to 152,617 and 209,135

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Solution

The third proportional to 152,617 and 209,135 is: 286,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,617 : 209,135 = 209,135 : x
  2. Step 2: Convert to fraction form
    152,617/209,135 = 209,135/x
  3. Step 3: Cross multiply
    152,617x = 209,135 × 209,135
  4. Step 4: Simplify right side
    152,617x = 43,737,448,225
  5. Step 5: Solve for x
    x = 43,737,448,225/152,617
  6. Step 6: Final answer
    x = 286,583.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.