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Finding the Third Proportional to 415,219.75 and 899,308.25

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Solution

The third proportional to 415,219.75 and 899,308.25 is: 1,947,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,219.75 : 899,308.25 = 899,308.25 : x
  2. Step 2: Convert to fraction form
    415,219.75/899,308.25 = 899,308.25/x
  3. Step 3: Cross multiply
    415,219.75x = 899,308.25 × 899,308.25
  4. Step 4: Simplify right side
    415,219.75x = 808,755,328,518.06
  5. Step 5: Solve for x
    x = 808,755,328,518.06/415,219.75
  6. Step 6: Final answer
    x = 1,947,776.64

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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.