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Finding the Third Proportional to 14,520 and 31,807

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Solution

The third proportional to 14,520 and 31,807 is: 69,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520 : 31,807 = 31,807 : x
  2. Step 2: Convert to fraction form
    14,520/31,807 = 31,807/x
  3. Step 3: Cross multiply
    14,520x = 31,807 × 31,807
  4. Step 4: Simplify right side
    14,520x = 1,011,685,249
  5. Step 5: Solve for x
    x = 1,011,685,249/14,520
  6. Step 6: Final answer
    x = 69,675.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.