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Finding the Third Proportional to 201,316 and 302,478

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Solution

The third proportional to 201,316 and 302,478 is: 454,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,316 : 302,478 = 302,478 : x
  2. Step 2: Convert to fraction form
    201,316/302,478 = 302,478/x
  3. Step 3: Cross multiply
    201,316x = 302,478 × 302,478
  4. Step 4: Simplify right side
    201,316x = 91,492,940,484
  5. Step 5: Solve for x
    x = 91,492,940,484/201,316
  6. Step 6: Final answer
    x = 454,474.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.