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Finding the Third Proportional to 310,288 and 640,502

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Solution

The third proportional to 310,288 and 640,502 is: 1,322,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,288 : 640,502 = 640,502 : x
  2. Step 2: Convert to fraction form
    310,288/640,502 = 640,502/x
  3. Step 3: Cross multiply
    310,288x = 640,502 × 640,502
  4. Step 4: Simplify right side
    310,288x = 410,242,812,004
  5. Step 5: Solve for x
    x = 410,242,812,004/310,288
  6. Step 6: Final answer
    x = 1,322,135.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.