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Finding the Third Proportional to 678,879,387 and 1,465,936,542

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Solution

The third proportional to 678,879,387 and 1,465,936,542 is: 3,165,466,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,879,387 : 1,465,936,542 = 1,465,936,542 : x
  2. Step 2: Convert to fraction form
    678,879,387/1,465,936,542 = 1,465,936,542/x
  3. Step 3: Cross multiply
    678,879,387x = 1,465,936,542 × 1,465,936,542
  4. Step 4: Simplify right side
    678,879,387x = 2,148,969,945,170,917,888
  5. Step 5: Solve for x
    x = 2,148,969,945,170,917,888/678,879,387
  6. Step 6: Final answer
    x = 3,165,466,482.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.