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Finding the Third Proportional to 7,872,979.78 and 12,323,274.19

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Solution

The third proportional to 7,872,979.78 and 12,323,274.19 is: 19,289,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,979.78 : 12,323,274.19 = 12,323,274.19 : x
  2. Step 2: Convert to fraction form
    7,872,979.78/12,323,274.19 = 12,323,274.19/x
  3. Step 3: Cross multiply
    7,872,979.78x = 12,323,274.19 × 12,323,274.19
  4. Step 4: Simplify right side
    7,872,979.78x = 151,863,086,700,303.78
  5. Step 5: Solve for x
    x = 151,863,086,700,303.78/7,872,979.78
  6. Step 6: Final answer
    x = 19,289,149.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.