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Finding the Third Proportional to 8,423,890 and 12,940,011

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Solution

The third proportional to 8,423,890 and 12,940,011 is: 19,877,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423,890 : 12,940,011 = 12,940,011 : x
  2. Step 2: Convert to fraction form
    8,423,890/12,940,011 = 12,940,011/x
  3. Step 3: Cross multiply
    8,423,890x = 12,940,011 × 12,940,011
  4. Step 4: Simplify right side
    8,423,890x = 167,443,884,680,121
  5. Step 5: Solve for x
    x = 167,443,884,680,121/8,423,890
  6. Step 6: Final answer
    x = 19,877,263.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.