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Finding the Third Proportional to 30,316 and 65,458

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Solution

The third proportional to 30,316 and 65,458 is: 141,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,316 : 65,458 = 65,458 : x
  2. Step 2: Convert to fraction form
    30,316/65,458 = 65,458/x
  3. Step 3: Cross multiply
    30,316x = 65,458 × 65,458
  4. Step 4: Simplify right side
    30,316x = 4,284,749,764
  5. Step 5: Solve for x
    x = 4,284,749,764/30,316
  6. Step 6: Final answer
    x = 141,336.25

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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.