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Finding the Third Proportional to 286,416 and 442,584

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Solution

The third proportional to 286,416 and 442,584 is: 683,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,416 : 442,584 = 442,584 : x
  2. Step 2: Convert to fraction form
    286,416/442,584 = 442,584/x
  3. Step 3: Cross multiply
    286,416x = 442,584 × 442,584
  4. Step 4: Simplify right side
    286,416x = 195,880,597,056
  5. Step 5: Solve for x
    x = 195,880,597,056/286,416
  6. Step 6: Final answer
    x = 683,902.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.