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Finding the Third Proportional to 97,415 and 209,397

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Solution

The third proportional to 97,415 and 209,397 is: 450,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,415 : 209,397 = 209,397 : x
  2. Step 2: Convert to fraction form
    97,415/209,397 = 209,397/x
  3. Step 3: Cross multiply
    97,415x = 209,397 × 209,397
  4. Step 4: Simplify right side
    97,415x = 43,847,103,609
  5. Step 5: Solve for x
    x = 43,847,103,609/97,415
  6. Step 6: Final answer
    x = 450,106.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.