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Finding the Third Proportional to 292,289 and 628,090.50

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Solution

The third proportional to 292,289 and 628,090.50 is: 1,349,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,289 : 628,090.50 = 628,090.50 : x
  2. Step 2: Convert to fraction form
    292,289/628,090.50 = 628,090.50/x
  3. Step 3: Cross multiply
    292,289x = 628,090.50 × 628,090.50
  4. Step 4: Simplify right side
    292,289x = 394,497,676,190.25
  5. Step 5: Solve for x
    x = 394,497,676,190.25/292,289
  6. Step 6: Final answer
    x = 1,349,683.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.