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Finding the Third Proportional to 30,435 and 65,397

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Solution

The third proportional to 30,435 and 65,397 is: 140,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,435 : 65,397 = 65,397 : x
  2. Step 2: Convert to fraction form
    30,435/65,397 = 65,397/x
  3. Step 3: Cross multiply
    30,435x = 65,397 × 65,397
  4. Step 4: Simplify right side
    30,435x = 4,276,767,609
  5. Step 5: Solve for x
    x = 4,276,767,609/30,435
  6. Step 6: Final answer
    x = 140,521.36

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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.