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Finding the Third Proportional to 8,196,312 and 13,169,268

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Solution

The third proportional to 8,196,312 and 13,169,268 is: 21,159,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196,312 : 13,169,268 = 13,169,268 : x
  2. Step 2: Convert to fraction form
    8,196,312/13,169,268 = 13,169,268/x
  3. Step 3: Cross multiply
    8,196,312x = 13,169,268 × 13,169,268
  4. Step 4: Simplify right side
    8,196,312x = 173,429,619,655,824
  5. Step 5: Solve for x
    x = 173,429,619,655,824/8,196,312
  6. Step 6: Final answer
    x = 21,159,470.22

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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.