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Finding the Third Proportional to 30,073 and 64,318

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Solution

The third proportional to 30,073 and 64,318 is: 137,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,073 : 64,318 = 64,318 : x
  2. Step 2: Convert to fraction form
    30,073/64,318 = 64,318/x
  3. Step 3: Cross multiply
    30,073x = 64,318 × 64,318
  4. Step 4: Simplify right side
    30,073x = 4,136,805,124
  5. Step 5: Solve for x
    x = 4,136,805,124/30,073
  6. Step 6: Final answer
    x = 137,558.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.