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Finding the Third Proportional to 283,280 and 608,665

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Solution

The third proportional to 283,280 and 608,665 is: 1,307,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,280 : 608,665 = 608,665 : x
  2. Step 2: Convert to fraction form
    283,280/608,665 = 608,665/x
  3. Step 3: Cross multiply
    283,280x = 608,665 × 608,665
  4. Step 4: Simplify right side
    283,280x = 370,473,082,225
  5. Step 5: Solve for x
    x = 370,473,082,225/283,280
  6. Step 6: Final answer
    x = 1,307,798.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.