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Finding the Third Proportional to 310,230 and 447,295.50

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Solution

The third proportional to 310,230 and 447,295.50 is: 644,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,230 : 447,295.50 = 447,295.50 : x
  2. Step 2: Convert to fraction form
    310,230/447,295.50 = 447,295.50/x
  3. Step 3: Cross multiply
    310,230x = 447,295.50 × 447,295.50
  4. Step 4: Simplify right side
    310,230x = 200,073,264,320.25
  5. Step 5: Solve for x
    x = 200,073,264,320.25/310,230
  6. Step 6: Final answer
    x = 644,919.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.