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Finding the Third Proportional to 409,388,634 and 585,430,578

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Solution

The third proportional to 409,388,634 and 585,430,578 is: 837,172,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,388,634 : 585,430,578 = 585,430,578 : x
  2. Step 2: Convert to fraction form
    409,388,634/585,430,578 = 585,430,578/x
  3. Step 3: Cross multiply
    409,388,634x = 585,430,578 × 585,430,578
  4. Step 4: Simplify right side
    409,388,634x = 342,728,961,657,414,080
  5. Step 5: Solve for x
    x = 342,728,961,657,414,080/409,388,634
  6. Step 6: Final answer
    x = 837,172,635.47

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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.