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Finding the Third Proportional to 286,690,229 and 442,709,271

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Solution

The third proportional to 286,690,229 and 442,709,271 is: 683,635,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,690,229 : 442,709,271 = 442,709,271 : x
  2. Step 2: Convert to fraction form
    286,690,229/442,709,271 = 442,709,271/x
  3. Step 3: Cross multiply
    286,690,229x = 442,709,271 × 442,709,271
  4. Step 4: Simplify right side
    286,690,229x = 195,991,498,629,351,456
  5. Step 5: Solve for x
    x = 195,991,498,629,351,456/286,690,229
  6. Step 6: Final answer
    x = 683,635,083.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.