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Finding the Third Proportional to 178,020 and 385,443

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Solution

The third proportional to 178,020 and 385,443 is: 834,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,020 : 385,443 = 385,443 : x
  2. Step 2: Convert to fraction form
    178,020/385,443 = 385,443/x
  3. Step 3: Cross multiply
    178,020x = 385,443 × 385,443
  4. Step 4: Simplify right side
    178,020x = 148,566,306,249
  5. Step 5: Solve for x
    x = 148,566,306,249/178,020
  6. Step 6: Final answer
    x = 834,548.40

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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.