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Finding the Third Proportional to 12,859,615 and 19,894,114.50

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Solution

The third proportional to 12,859,615 and 19,894,114.50 is: 30,776,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859,615 : 19,894,114.50 = 19,894,114.50 : x
  2. Step 2: Convert to fraction form
    12,859,615/19,894,114.50 = 19,894,114.50/x
  3. Step 3: Cross multiply
    12,859,615x = 19,894,114.50 × 19,894,114.50
  4. Step 4: Simplify right side
    12,859,615x = 395,775,791,739,110.25
  5. Step 5: Solve for x
    x = 395,775,791,739,110.25/12,859,615
  6. Step 6: Final answer
    x = 30,776,643.92

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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.