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Finding the Third Proportional to 218,151,470 and 347,290,014

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Solution

The third proportional to 218,151,470 and 347,290,014 is: 552,874,357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,151,470 : 347,290,014 = 347,290,014 : x
  2. Step 2: Convert to fraction form
    218,151,470/347,290,014 = 347,290,014/x
  3. Step 3: Cross multiply
    218,151,470x = 347,290,014 × 347,290,014
  4. Step 4: Simplify right side
    218,151,470x = 120,610,353,824,120,192
  5. Step 5: Solve for x
    x = 120,610,353,824,120,192/218,151,470
  6. Step 6: Final answer
    x = 552,874,357.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.