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Finding the Third Proportional to 180,643 and 418,315

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Solution

The third proportional to 180,643 and 418,315 is: 968,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,643 : 418,315 = 418,315 : x
  2. Step 2: Convert to fraction form
    180,643/418,315 = 418,315/x
  3. Step 3: Cross multiply
    180,643x = 418,315 × 418,315
  4. Step 4: Simplify right side
    180,643x = 174,987,439,225
  5. Step 5: Solve for x
    x = 174,987,439,225/180,643
  6. Step 6: Final answer
    x = 968,692.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.