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Finding the Third Proportional to 147,397 and 315,823

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Solution

The third proportional to 147,397 and 315,823 is: 676,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,397 : 315,823 = 315,823 : x
  2. Step 2: Convert to fraction form
    147,397/315,823 = 315,823/x
  3. Step 3: Cross multiply
    147,397x = 315,823 × 315,823
  4. Step 4: Simplify right side
    147,397x = 99,744,167,329
  5. Step 5: Solve for x
    x = 99,744,167,329/147,397
  6. Step 6: Final answer
    x = 676,704.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.