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Finding the Third Proportional to 11,877,719 and 18,362,419.50

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Solution

The third proportional to 11,877,719 and 18,362,419.50 is: 28,387,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877,719 : 18,362,419.50 = 18,362,419.50 : x
  2. Step 2: Convert to fraction form
    11,877,719/18,362,419.50 = 18,362,419.50/x
  3. Step 3: Cross multiply
    11,877,719x = 18,362,419.50 × 18,362,419.50
  4. Step 4: Simplify right side
    11,877,719x = 337,178,449,893,980.25
  5. Step 5: Solve for x
    x = 337,178,449,893,980.25/11,877,719
  6. Step 6: Final answer
    x = 28,387,474.89

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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.