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Finding the Third Proportional to 202,467 and 321,784.50

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Solution

The third proportional to 202,467 and 321,784.50 is: 511,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,467 : 321,784.50 = 321,784.50 : x
  2. Step 2: Convert to fraction form
    202,467/321,784.50 = 321,784.50/x
  3. Step 3: Cross multiply
    202,467x = 321,784.50 × 321,784.50
  4. Step 4: Simplify right side
    202,467x = 103,545,264,440.25
  5. Step 5: Solve for x
    x = 103,545,264,440.25/202,467
  6. Step 6: Final answer
    x = 511,417.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.