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Finding the Third Proportional to 415,327.50 and 977,892.75

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Solution

The third proportional to 415,327.50 and 977,892.75 is: 2,302,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,327.50 : 977,892.75 = 977,892.75 : x
  2. Step 2: Convert to fraction form
    415,327.50/977,892.75 = 977,892.75/x
  3. Step 3: Cross multiply
    415,327.50x = 977,892.75 × 977,892.75
  4. Step 4: Simplify right side
    415,327.50x = 956,274,230,502.56
  5. Step 5: Solve for x
    x = 956,274,230,502.56/415,327.50
  6. Step 6: Final answer
    x = 2,302,458.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.