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Finding the Third Proportional to 189,400,540 and 406,996,958

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Solution

The third proportional to 189,400,540 and 406,996,958 is: 874,583,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,400,540 : 406,996,958 = 406,996,958 : x
  2. Step 2: Convert to fraction form
    189,400,540/406,996,958 = 406,996,958/x
  3. Step 3: Cross multiply
    189,400,540x = 406,996,958 × 406,996,958
  4. Step 4: Simplify right side
    189,400,540x = 165,646,523,821,253,760
  5. Step 5: Solve for x
    x = 165,646,523,821,253,760/189,400,540
  6. Step 6: Final answer
    x = 874,583,165.50

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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.