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Finding the Third Proportional to 398,141,042 and 569,342,379

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Solution

The third proportional to 398,141,042 and 569,342,379 is: 814,160,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,141,042 : 569,342,379 = 569,342,379 : x
  2. Step 2: Convert to fraction form
    398,141,042/569,342,379 = 569,342,379/x
  3. Step 3: Cross multiply
    398,141,042x = 569,342,379 × 569,342,379
  4. Step 4: Simplify right side
    398,141,042x = 324,150,744,525,379,648
  5. Step 5: Solve for x
    x = 324,150,744,525,379,648/398,141,042
  6. Step 6: Final answer
    x = 814,160,587.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.