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Finding the Third Proportional to 411,427.13 and 617,140.69

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Solution

The third proportional to 411,427.13 and 617,140.69 is: 925,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,427.13 : 617,140.69 = 617,140.69 : x
  2. Step 2: Convert to fraction form
    411,427.13/617,140.69 = 617,140.69/x
  3. Step 3: Cross multiply
    411,427.13x = 617,140.69 × 617,140.69
  4. Step 4: Simplify right side
    411,427.13x = 380,862,628,167.97
  5. Step 5: Solve for x
    x = 380,862,628,167.97/411,427.13
  6. Step 6: Final answer
    x = 925,711.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.