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Finding the Third Proportional to 12,326,912 and 19,161,780

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Solution

The third proportional to 12,326,912 and 19,161,780 is: 29,786,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326,912 : 19,161,780 = 19,161,780 : x
  2. Step 2: Convert to fraction form
    12,326,912/19,161,780 = 19,161,780/x
  3. Step 3: Cross multiply
    12,326,912x = 19,161,780 × 19,161,780
  4. Step 4: Simplify right side
    12,326,912x = 367,173,812,768,400
  5. Step 5: Solve for x
    x = 367,173,812,768,400/12,326,912
  6. Step 6: Final answer
    x = 29,786,357.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.