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Finding the Third Proportional to 178,478 and 389,511

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Solution

The third proportional to 178,478 and 389,511 is: 850,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,478 : 389,511 = 389,511 : x
  2. Step 2: Convert to fraction form
    178,478/389,511 = 389,511/x
  3. Step 3: Cross multiply
    178,478x = 389,511 × 389,511
  4. Step 4: Simplify right side
    178,478x = 151,718,819,121
  5. Step 5: Solve for x
    x = 151,718,819,121/178,478
  6. Step 6: Final answer
    x = 850,070.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.