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Finding the Third Proportional to 191,345,668 and 408,203,528

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Solution

The third proportional to 191,345,668 and 408,203,528 is: 870,832,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,345,668 : 408,203,528 = 408,203,528 : x
  2. Step 2: Convert to fraction form
    191,345,668/408,203,528 = 408,203,528/x
  3. Step 3: Cross multiply
    191,345,668x = 408,203,528 × 408,203,528
  4. Step 4: Simplify right side
    191,345,668x = 166,630,120,271,646,784
  5. Step 5: Solve for x
    x = 166,630,120,271,646,784/191,345,668
  6. Step 6: Final answer
    x = 870,832,990.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.