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Finding the Third Proportional to 7,698.38 and 12,403.13

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Solution

The third proportional to 7,698.38 and 12,403.13 is: 19,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.38 : 12,403.13 = 12,403.13 : x
  2. Step 2: Convert to fraction form
    7,698.38/12,403.13 = 12,403.13/x
  3. Step 3: Cross multiply
    7,698.38x = 12,403.13 × 12,403.13
  4. Step 4: Simplify right side
    7,698.38x = 153,837,509.77
  5. Step 5: Solve for x
    x = 153,837,509.77/7,698.38
  6. Step 6: Final answer
    x = 19,983.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.