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Finding the Third Proportional to 415,219.50 and 899,307.50

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Solution

The third proportional to 415,219.50 and 899,307.50 is: 1,947,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,219.50 : 899,307.50 = 899,307.50 : x
  2. Step 2: Convert to fraction form
    415,219.50/899,307.50 = 899,307.50/x
  3. Step 3: Cross multiply
    415,219.50x = 899,307.50 × 899,307.50
  4. Step 4: Simplify right side
    415,219.50x = 808,753,979,556.25
  5. Step 5: Solve for x
    x = 808,753,979,556.25/415,219.50
  6. Step 6: Final answer
    x = 1,947,774.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.