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Finding the Third Proportional to 7,980.19 and 12,630.19

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Solution

The third proportional to 7,980.19 and 12,630.19 is: 19,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.19 : 12,630.19 = 12,630.19 : x
  2. Step 2: Convert to fraction form
    7,980.19/12,630.19 = 12,630.19/x
  3. Step 3: Cross multiply
    7,980.19x = 12,630.19 × 12,630.19
  4. Step 4: Simplify right side
    7,980.19x = 159,521,636.29
  5. Step 5: Solve for x
    x = 159,521,636.29/7,980.19
  6. Step 6: Final answer
    x = 19,989.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.