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Finding the Third Proportional to 8,381,806.13 and 12,816,316.88

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Solution

The third proportional to 8,381,806.13 and 12,816,316.88 is: 19,596,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381,806.13 : 12,816,316.88 = 12,816,316.88 : x
  2. Step 2: Convert to fraction form
    8,381,806.13/12,816,316.88 = 12,816,316.88/x
  3. Step 3: Cross multiply
    8,381,806.13x = 12,816,316.88 × 12,816,316.88
  4. Step 4: Simplify right side
    8,381,806.13x = 164,257,978,240,409.75
  5. Step 5: Solve for x
    x = 164,257,978,240,409.75/8,381,806.13
  6. Step 6: Final answer
    x = 19,596,967.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.