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Finding the Third Proportional to 141,948,448 and 289,042,112

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Solution

The third proportional to 141,948,448 and 289,042,112 is: 588,561,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,948,448 : 289,042,112 = 289,042,112 : x
  2. Step 2: Convert to fraction form
    141,948,448/289,042,112 = 289,042,112/x
  3. Step 3: Cross multiply
    141,948,448x = 289,042,112 × 289,042,112
  4. Step 4: Simplify right side
    141,948,448x = 83,545,342,509,420,544
  5. Step 5: Solve for x
    x = 83,545,342,509,420,544/141,948,448
  6. Step 6: Final answer
    x = 588,561,155.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.