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Finding the Third Proportional to 415,650 and 630,036

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Solution

The third proportional to 415,650 and 630,036 is: 954,999.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,650 : 630,036 = 630,036 : x
  2. Step 2: Convert to fraction form
    415,650/630,036 = 630,036/x
  3. Step 3: Cross multiply
    415,650x = 630,036 × 630,036
  4. Step 4: Simplify right side
    415,650x = 396,945,361,296
  5. Step 5: Solve for x
    x = 396,945,361,296/415,650
  6. Step 6: Final answer
    x = 954,999.06

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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.