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Finding the Third Proportional to 30,321 and 65,574

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Solution

The third proportional to 30,321 and 65,574 is: 141,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321 : 65,574 = 65,574 : x
  2. Step 2: Convert to fraction form
    30,321/65,574 = 65,574/x
  3. Step 3: Cross multiply
    30,321x = 65,574 × 65,574
  4. Step 4: Simplify right side
    30,321x = 4,299,949,476
  5. Step 5: Solve for x
    x = 4,299,949,476/30,321
  6. Step 6: Final answer
    x = 141,814.24

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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.