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Finding the Third Proportional to 286,880 and 586,432

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Solution

The third proportional to 286,880 and 586,432 is: 1,198,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,880 : 586,432 = 586,432 : x
  2. Step 2: Convert to fraction form
    286,880/586,432 = 586,432/x
  3. Step 3: Cross multiply
    286,880x = 586,432 × 586,432
  4. Step 4: Simplify right side
    286,880x = 343,902,490,624
  5. Step 5: Solve for x
    x = 343,902,490,624/286,880
  6. Step 6: Final answer
    x = 1,198,767.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.