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Finding the Third Proportional to 178,160 and 385,408

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Solution

The third proportional to 178,160 and 385,408 is: 833,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,160 : 385,408 = 385,408 : x
  2. Step 2: Convert to fraction form
    178,160/385,408 = 385,408/x
  3. Step 3: Cross multiply
    178,160x = 385,408 × 385,408
  4. Step 4: Simplify right side
    178,160x = 148,539,326,464
  5. Step 5: Solve for x
    x = 148,539,326,464/178,160
  6. Step 6: Final answer
    x = 833,741.17

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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.