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Finding the Third Proportional to 415,273.50 and 631,308.38

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Solution

The third proportional to 415,273.50 and 631,308.38 is: 959,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,273.50 : 631,308.38 = 631,308.38 : x
  2. Step 2: Convert to fraction form
    415,273.50/631,308.38 = 631,308.38/x
  3. Step 3: Cross multiply
    415,273.50x = 631,308.38 × 631,308.38
  4. Step 4: Simplify right side
    415,273.50x = 398,550,264,345.14
  5. Step 5: Solve for x
    x = 398,550,264,345.14/415,273.50
  6. Step 6: Final answer
    x = 959,729.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.