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Finding the Third Proportional to 902,429,966 and 1,217,589,909

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Solution

The third proportional to 902,429,966 and 1,217,589,909 is: 1,642,814,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,429,966 : 1,217,589,909 = 1,217,589,909 : x
  2. Step 2: Convert to fraction form
    902,429,966/1,217,589,909 = 1,217,589,909/x
  3. Step 3: Cross multiply
    902,429,966x = 1,217,589,909 × 1,217,589,909
  4. Step 4: Simplify right side
    902,429,966x = 1,482,525,186,498,628,352
  5. Step 5: Solve for x
    x = 1,482,525,186,498,628,352/902,429,966
  6. Step 6: Final answer
    x = 1,642,814,669.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.