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Finding the Third Proportional to 180,464 and 391,664

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Solution

The third proportional to 180,464 and 391,664 is: 850,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,464 : 391,664 = 391,664 : x
  2. Step 2: Convert to fraction form
    180,464/391,664 = 391,664/x
  3. Step 3: Cross multiply
    180,464x = 391,664 × 391,664
  4. Step 4: Simplify right side
    180,464x = 153,400,688,896
  5. Step 5: Solve for x
    x = 153,400,688,896/180,464
  6. Step 6: Final answer
    x = 850,034.85

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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.