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Finding the Third Proportional to 310,517 and 665,299.50

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Solution

The third proportional to 310,517 and 665,299.50 is: 1,425,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,517 : 665,299.50 = 665,299.50 : x
  2. Step 2: Convert to fraction form
    310,517/665,299.50 = 665,299.50/x
  3. Step 3: Cross multiply
    310,517x = 665,299.50 × 665,299.50
  4. Step 4: Simplify right side
    310,517x = 442,623,424,700.25
  5. Step 5: Solve for x
    x = 442,623,424,700.25/310,517
  6. Step 6: Final answer
    x = 1,425,440.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.