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Finding the Third Proportional to 284,918 and 442,918

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Solution

The third proportional to 284,918 and 442,918 is: 688,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,918 : 442,918 = 442,918 : x
  2. Step 2: Convert to fraction form
    284,918/442,918 = 442,918/x
  3. Step 3: Cross multiply
    284,918x = 442,918 × 442,918
  4. Step 4: Simplify right side
    284,918x = 196,176,354,724
  5. Step 5: Solve for x
    x = 196,176,354,724/284,918
  6. Step 6: Final answer
    x = 688,536.19

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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.