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Finding the Third Proportional to 423,397 and 913,267

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Solution

The third proportional to 423,397 and 913,267 is: 1,969,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,397 : 913,267 = 913,267 : x
  2. Step 2: Convert to fraction form
    423,397/913,267 = 913,267/x
  3. Step 3: Cross multiply
    423,397x = 913,267 × 913,267
  4. Step 4: Simplify right side
    423,397x = 834,056,613,289
  5. Step 5: Solve for x
    x = 834,056,613,289/423,397
  6. Step 6: Final answer
    x = 1,969,916.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.