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Finding the Third Proportional to 12,994,890.75 and 19,975,838.63

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Solution

The third proportional to 12,994,890.75 and 19,975,838.63 is: 30,707,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994,890.75 : 19,975,838.63 = 19,975,838.63 : x
  2. Step 2: Convert to fraction form
    12,994,890.75/19,975,838.63 = 19,975,838.63/x
  3. Step 3: Cross multiply
    12,994,890.75x = 19,975,838.63 × 19,975,838.63
  4. Step 4: Simplify right side
    12,994,890.75x = 399,034,128,772,041.88
  5. Step 5: Solve for x
    x = 399,034,128,772,041.88/12,994,890.75
  6. Step 6: Final answer
    x = 30,707,001.42

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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.