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Finding the Third Proportional to 344,720,826 and 737,217,396

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Solution

The third proportional to 344,720,826 and 737,217,396 is: 1,576,607,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,720,826 : 737,217,396 = 737,217,396 : x
  2. Step 2: Convert to fraction form
    344,720,826/737,217,396 = 737,217,396/x
  3. Step 3: Cross multiply
    344,720,826x = 737,217,396 × 737,217,396
  4. Step 4: Simplify right side
    344,720,826x = 543,489,488,965,020,800
  5. Step 5: Solve for x
    x = 543,489,488,965,020,800/344,720,826
  6. Step 6: Final answer
    x = 1,576,607,642.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.