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Finding the Third Proportional to 15,630 and 31,807

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Solution

The third proportional to 15,630 and 31,807 is: 64,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,630 : 31,807 = 31,807 : x
  2. Step 2: Convert to fraction form
    15,630/31,807 = 31,807/x
  3. Step 3: Cross multiply
    15,630x = 31,807 × 31,807
  4. Step 4: Simplify right side
    15,630x = 1,011,685,249
  5. Step 5: Solve for x
    x = 1,011,685,249/15,630
  6. Step 6: Final answer
    x = 64,727.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.