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Finding the Third Proportional to 640.50 and 710.25

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Solution

The third proportional to 640.50 and 710.25 is: 787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.50 : 710.25 = 710.25 : x
  2. Step 2: Convert to fraction form
    640.50/710.25 = 710.25/x
  3. Step 3: Cross multiply
    640.50x = 710.25 × 710.25
  4. Step 4: Simplify right side
    640.50x = 504,455.06
  5. Step 5: Solve for x
    x = 504,455.06/640.50
  6. Step 6: Final answer
    x = 787.60

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.