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Finding the Third Proportional to 169,021,809 and 370,446,210

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Solution

The third proportional to 169,021,809 and 370,446,210 is: 811,909,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,021,809 : 370,446,210 = 370,446,210 : x
  2. Step 2: Convert to fraction form
    169,021,809/370,446,210 = 370,446,210/x
  3. Step 3: Cross multiply
    169,021,809x = 370,446,210 × 370,446,210
  4. Step 4: Simplify right side
    169,021,809x = 137,230,394,503,364,096
  5. Step 5: Solve for x
    x = 137,230,394,503,364,096/169,021,809
  6. Step 6: Final answer
    x = 811,909,393.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.