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Finding the Third Proportional to 201,423 and 282,342

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Solution

The third proportional to 201,423 and 282,342 is: 395,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,423 : 282,342 = 282,342 : x
  2. Step 2: Convert to fraction form
    201,423/282,342 = 282,342/x
  3. Step 3: Cross multiply
    201,423x = 282,342 × 282,342
  4. Step 4: Simplify right side
    201,423x = 79,717,004,964
  5. Step 5: Solve for x
    x = 79,717,004,964/201,423
  6. Step 6: Final answer
    x = 395,769.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.