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Finding the Third Proportional to 286,690,880 and 442,710,269

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Solution

The third proportional to 286,690,880 and 442,710,269 is: 683,636,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,690,880 : 442,710,269 = 442,710,269 : x
  2. Step 2: Convert to fraction form
    286,690,880/442,710,269 = 442,710,269/x
  3. Step 3: Cross multiply
    286,690,880x = 442,710,269 × 442,710,269
  4. Step 4: Simplify right side
    286,690,880x = 195,992,382,278,052,352
  5. Step 5: Solve for x
    x = 195,992,382,278,052,352/286,690,880
  6. Step 6: Final answer
    x = 683,636,613.34

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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.