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Finding the Third Proportional to 30,407 and 65,356

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Solution

The third proportional to 30,407 and 65,356 is: 140,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407 : 65,356 = 65,356 : x
  2. Step 2: Convert to fraction form
    30,407/65,356 = 65,356/x
  3. Step 3: Cross multiply
    30,407x = 65,356 × 65,356
  4. Step 4: Simplify right side
    30,407x = 4,271,406,736
  5. Step 5: Solve for x
    x = 4,271,406,736/30,407
  6. Step 6: Final answer
    x = 140,474.45

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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.