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Finding the Third Proportional to 102,139,427 and 218,434,630

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Solution

The third proportional to 102,139,427 and 218,434,630 is: 467,142,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,139,427 : 218,434,630 = 218,434,630 : x
  2. Step 2: Convert to fraction form
    102,139,427/218,434,630 = 218,434,630/x
  3. Step 3: Cross multiply
    102,139,427x = 218,434,630 × 218,434,630
  4. Step 4: Simplify right side
    102,139,427x = 47,713,687,583,236,896
  5. Step 5: Solve for x
    x = 47,713,687,583,236,896/102,139,427
  6. Step 6: Final answer
    x = 467,142,698.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.