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Finding the Third Proportional to 178,893 and 389,754

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Solution

The third proportional to 178,893 and 389,754 is: 849,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,893 : 389,754 = 389,754 : x
  2. Step 2: Convert to fraction form
    178,893/389,754 = 389,754/x
  3. Step 3: Cross multiply
    178,893x = 389,754 × 389,754
  4. Step 4: Simplify right side
    178,893x = 151,908,180,516
  5. Step 5: Solve for x
    x = 151,908,180,516/178,893
  6. Step 6: Final answer
    x = 849,156.65

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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.