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Finding the Third Proportional to 401,215,632 and 554,388,880

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Solution

The third proportional to 401,215,632 and 554,388,880 is: 766,039,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,215,632 : 554,388,880 = 554,388,880 : x
  2. Step 2: Convert to fraction form
    401,215,632/554,388,880 = 554,388,880/x
  3. Step 3: Cross multiply
    401,215,632x = 554,388,880 × 554,388,880
  4. Step 4: Simplify right side
    401,215,632x = 307,347,030,267,654,400
  5. Step 5: Solve for x
    x = 307,347,030,267,654,400/401,215,632
  6. Step 6: Final answer
    x = 766,039,520.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.