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Finding the Third Proportional to 30,316 and 65,614

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Solution

The third proportional to 30,316 and 65,614 is: 142,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,316 : 65,614 = 65,614 : x
  2. Step 2: Convert to fraction form
    30,316/65,614 = 65,614/x
  3. Step 3: Cross multiply
    30,316x = 65,614 × 65,614
  4. Step 4: Simplify right side
    30,316x = 4,305,196,996
  5. Step 5: Solve for x
    x = 4,305,196,996/30,316
  6. Step 6: Final answer
    x = 142,010.72

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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.