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Finding the Third Proportional to 138,178,453.50 and 295,488,780

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Solution

The third proportional to 138,178,453.50 and 295,488,780 is: 631,890,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,178,453.50 : 295,488,780 = 295,488,780 : x
  2. Step 2: Convert to fraction form
    138,178,453.50/295,488,780 = 295,488,780/x
  3. Step 3: Cross multiply
    138,178,453.50x = 295,488,780 × 295,488,780
  4. Step 4: Simplify right side
    138,178,453.50x = 87,313,619,105,888,400
  5. Step 5: Solve for x
    x = 87,313,619,105,888,400/138,178,453.50
  6. Step 6: Final answer
    x = 631,890,261.43

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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.