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Finding the Third Proportional to 202,590 and 376,267.50

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Solution

The third proportional to 202,590 and 376,267.50 is: 698,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,590 : 376,267.50 = 376,267.50 : x
  2. Step 2: Convert to fraction form
    202,590/376,267.50 = 376,267.50/x
  3. Step 3: Cross multiply
    202,590x = 376,267.50 × 376,267.50
  4. Step 4: Simplify right side
    202,590x = 141,577,231,556.25
  5. Step 5: Solve for x
    x = 141,577,231,556.25/202,590
  6. Step 6: Final answer
    x = 698,836.23

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.