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Finding the Third Proportional to 14,140 and 30,709

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Solution

The third proportional to 14,140 and 30,709 is: 66,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140 : 30,709 = 30,709 : x
  2. Step 2: Convert to fraction form
    14,140/30,709 = 30,709/x
  3. Step 3: Cross multiply
    14,140x = 30,709 × 30,709
  4. Step 4: Simplify right side
    14,140x = 943,042,681
  5. Step 5: Solve for x
    x = 943,042,681/14,140
  6. Step 6: Final answer
    x = 66,693.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.