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Finding the Third Proportional to 178,643 and 386,446

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Solution

The third proportional to 178,643 and 386,446 is: 835,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,643 : 386,446 = 386,446 : x
  2. Step 2: Convert to fraction form
    178,643/386,446 = 386,446/x
  3. Step 3: Cross multiply
    178,643x = 386,446 × 386,446
  4. Step 4: Simplify right side
    178,643x = 149,340,510,916
  5. Step 5: Solve for x
    x = 149,340,510,916/178,643
  6. Step 6: Final answer
    x = 835,971.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.