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Finding the Third Proportional to 201,820 and 288,069

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Solution

The third proportional to 201,820 and 288,069 is: 411,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,820 : 288,069 = 288,069 : x
  2. Step 2: Convert to fraction form
    201,820/288,069 = 288,069/x
  3. Step 3: Cross multiply
    201,820x = 288,069 × 288,069
  4. Step 4: Simplify right side
    201,820x = 82,983,748,761
  5. Step 5: Solve for x
    x = 82,983,748,761/201,820
  6. Step 6: Final answer
    x = 411,177.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.