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Finding the Third Proportional to 399,795,907.50 and 891,465,747.75

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Solution

The third proportional to 399,795,907.50 and 891,465,747.75 is: 1,987,792,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,795,907.50 : 891,465,747.75 = 891,465,747.75 : x
  2. Step 2: Convert to fraction form
    399,795,907.50/891,465,747.75 = 891,465,747.75/x
  3. Step 3: Cross multiply
    399,795,907.50x = 891,465,747.75 × 891,465,747.75
  4. Step 4: Simplify right side
    399,795,907.50x = 794,711,179,411,466,624
  5. Step 5: Solve for x
    x = 794,711,179,411,466,624/399,795,907.50
  6. Step 6: Final answer
    x = 1,987,792,182.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.