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Finding the Third Proportional to 284,890 and 607,918

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Solution

The third proportional to 284,890 and 607,918 is: 1,297,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,890 : 607,918 = 607,918 : x
  2. Step 2: Convert to fraction form
    284,890/607,918 = 607,918/x
  3. Step 3: Cross multiply
    284,890x = 607,918 × 607,918
  4. Step 4: Simplify right side
    284,890x = 369,564,294,724
  5. Step 5: Solve for x
    x = 369,564,294,724/284,890
  6. Step 6: Final answer
    x = 1,297,217.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.