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Finding the Third Proportional to 12,112,980.47 and 18,618,519.52

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Solution

The third proportional to 12,112,980.47 and 18,618,519.52 is: 28,617,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112,980.47 : 18,618,519.52 = 18,618,519.52 : x
  2. Step 2: Convert to fraction form
    12,112,980.47/18,618,519.52 = 18,618,519.52/x
  3. Step 3: Cross multiply
    12,112,980.47x = 18,618,519.52 × 18,618,519.52
  4. Step 4: Simplify right side
    12,112,980.47x = 346,649,268,953,709
  5. Step 5: Solve for x
    x = 346,649,268,953,709/12,112,980.47
  6. Step 6: Final answer
    x = 28,617,999.50

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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.