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Finding the Third Proportional to 307,030.50 and 663,997.50

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Solution

The third proportional to 307,030.50 and 663,997.50 is: 1,435,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,030.50 : 663,997.50 = 663,997.50 : x
  2. Step 2: Convert to fraction form
    307,030.50/663,997.50 = 663,997.50/x
  3. Step 3: Cross multiply
    307,030.50x = 663,997.50 × 663,997.50
  4. Step 4: Simplify right side
    307,030.50x = 440,892,680,006.25
  5. Step 5: Solve for x
    x = 440,892,680,006.25/307,030.50
  6. Step 6: Final answer
    x = 1,435,989.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.