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Finding the Third Proportional to 415,656 and 630,045

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Solution

The third proportional to 415,656 and 630,045 is: 955,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,656 : 630,045 = 630,045 : x
  2. Step 2: Convert to fraction form
    415,656/630,045 = 630,045/x
  3. Step 3: Cross multiply
    415,656x = 630,045 × 630,045
  4. Step 4: Simplify right side
    415,656x = 396,956,702,025
  5. Step 5: Solve for x
    x = 396,956,702,025/415,656
  6. Step 6: Final answer
    x = 955,012.56

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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.