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Finding the Third Proportional to 289,342 and 447,971

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Solution

The third proportional to 289,342 and 447,971 is: 693,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,342 : 447,971 = 447,971 : x
  2. Step 2: Convert to fraction form
    289,342/447,971 = 447,971/x
  3. Step 3: Cross multiply
    289,342x = 447,971 × 447,971
  4. Step 4: Simplify right side
    289,342x = 200,678,016,841
  5. Step 5: Solve for x
    x = 200,678,016,841/289,342
  6. Step 6: Final answer
    x = 693,566.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.