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Finding the Third Proportional to 42,706,980 and 66,184,020

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Solution

The third proportional to 42,706,980 and 66,184,020 is: 102,566,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706,980 : 66,184,020 = 66,184,020 : x
  2. Step 2: Convert to fraction form
    42,706,980/66,184,020 = 66,184,020/x
  3. Step 3: Cross multiply
    42,706,980x = 66,184,020 × 66,184,020
  4. Step 4: Simplify right side
    42,706,980x = 4,380,324,503,360,400
  5. Step 5: Solve for x
    x = 4,380,324,503,360,400/42,706,980
  6. Step 6: Final answer
    x = 102,566,945.81

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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.