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Finding the Third Proportional to 286,690,916 and 442,710,318

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Solution

The third proportional to 286,690,916 and 442,710,318 is: 683,636,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,690,916 : 442,710,318 = 442,710,318 : x
  2. Step 2: Convert to fraction form
    286,690,916/442,710,318 = 442,710,318/x
  3. Step 3: Cross multiply
    286,690,916x = 442,710,318 × 442,710,318
  4. Step 4: Simplify right side
    286,690,916x = 195,992,425,663,661,120
  5. Step 5: Solve for x
    x = 195,992,425,663,661,120/286,690,916
  6. Step 6: Final answer
    x = 683,636,678.83

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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.