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Finding the Third Proportional to 737,211,384 and 1,583,830,548

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Solution

The third proportional to 737,211,384 and 1,583,830,548 is: 3,402,713,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,211,384 : 1,583,830,548 = 1,583,830,548 : x
  2. Step 2: Convert to fraction form
    737,211,384/1,583,830,548 = 1,583,830,548/x
  3. Step 3: Cross multiply
    737,211,384x = 1,583,830,548 × 1,583,830,548
  4. Step 4: Simplify right side
    737,211,384x = 2,508,519,204,777,980,416
  5. Step 5: Solve for x
    x = 2,508,519,204,777,980,416/737,211,384
  6. Step 6: Final answer
    x = 3,402,713,603.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.