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Finding the Third Proportional to 640,518,608 and 1,398,485,920

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Solution

The third proportional to 640,518,608 and 1,398,485,920 is: 3,053,405,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,518,608 : 1,398,485,920 = 1,398,485,920 : x
  2. Step 2: Convert to fraction form
    640,518,608/1,398,485,920 = 1,398,485,920/x
  3. Step 3: Cross multiply
    640,518,608x = 1,398,485,920 × 1,398,485,920
  4. Step 4: Simplify right side
    640,518,608x = 1,955,762,868,438,246,400
  5. Step 5: Solve for x
    x = 1,955,762,868,438,246,400/640,518,608
  6. Step 6: Final answer
    x = 3,053,405,231.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.