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Finding the Third Proportional to 7,867,076 and 11,872,902

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Solution

The third proportional to 7,867,076 and 11,872,902 is: 17,918,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867,076 : 11,872,902 = 11,872,902 : x
  2. Step 2: Convert to fraction form
    7,867,076/11,872,902 = 11,872,902/x
  3. Step 3: Cross multiply
    7,867,076x = 11,872,902 × 11,872,902
  4. Step 4: Simplify right side
    7,867,076x = 140,965,801,901,604
  5. Step 5: Solve for x
    x = 140,965,801,901,604/7,867,076
  6. Step 6: Final answer
    x = 17,918,449.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.