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Finding the Third Proportional to 418,323 and 628,438.50

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Solution

The third proportional to 418,323 and 628,438.50 is: 944,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,323 : 628,438.50 = 628,438.50 : x
  2. Step 2: Convert to fraction form
    418,323/628,438.50 = 628,438.50/x
  3. Step 3: Cross multiply
    418,323x = 628,438.50 × 628,438.50
  4. Step 4: Simplify right side
    418,323x = 394,934,948,282.25
  5. Step 5: Solve for x
    x = 394,934,948,282.25/418,323
  6. Step 6: Final answer
    x = 944,090.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.