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Finding the Third Proportional to 305,507 and 440,035

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Solution

The third proportional to 305,507 and 440,035 is: 633,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,507 : 440,035 = 440,035 : x
  2. Step 2: Convert to fraction form
    305,507/440,035 = 440,035/x
  3. Step 3: Cross multiply
    305,507x = 440,035 × 440,035
  4. Step 4: Simplify right side
    305,507x = 193,630,801,225
  5. Step 5: Solve for x
    x = 193,630,801,225/305,507
  6. Step 6: Final answer
    x = 633,801.52

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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.