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Finding the Third Proportional to 7,800.19 and 12,403.69

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Solution

The third proportional to 7,800.19 and 12,403.69 is: 19,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.19 : 12,403.69 = 12,403.69 : x
  2. Step 2: Convert to fraction form
    7,800.19/12,403.69 = 12,403.69/x
  3. Step 3: Cross multiply
    7,800.19x = 12,403.69 × 12,403.69
  4. Step 4: Simplify right side
    7,800.19x = 153,851,463.60
  5. Step 5: Solve for x
    x = 153,851,463.60/7,800.19
  6. Step 6: Final answer
    x = 19,724.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.