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Finding the Third Proportional to 415,307.25 and 650,643.75

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Solution

The third proportional to 415,307.25 and 650,643.75 is: 1,019,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,307.25 : 650,643.75 = 650,643.75 : x
  2. Step 2: Convert to fraction form
    415,307.25/650,643.75 = 650,643.75/x
  3. Step 3: Cross multiply
    415,307.25x = 650,643.75 × 650,643.75
  4. Step 4: Simplify right side
    415,307.25x = 423,337,289,414.06
  5. Step 5: Solve for x
    x = 423,337,289,414.06/415,307.25
  6. Step 6: Final answer
    x = 1,019,335.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.