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Finding the Third Proportional to 188,947,072 and 406,872,704

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Solution

The third proportional to 188,947,072 and 406,872,704 is: 876,146,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,947,072 : 406,872,704 = 406,872,704 : x
  2. Step 2: Convert to fraction form
    188,947,072/406,872,704 = 406,872,704/x
  3. Step 3: Cross multiply
    188,947,072x = 406,872,704 × 406,872,704
  4. Step 4: Simplify right side
    188,947,072x = 165,545,397,260,271,616
  5. Step 5: Solve for x
    x = 165,545,397,260,271,616/188,947,072
  6. Step 6: Final answer
    x = 876,146,931.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.