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Finding the Third Proportional to 180,484 and 385,132

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Solution

The third proportional to 180,484 and 385,132 is: 821,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,484 : 385,132 = 385,132 : x
  2. Step 2: Convert to fraction form
    180,484/385,132 = 385,132/x
  3. Step 3: Cross multiply
    180,484x = 385,132 × 385,132
  4. Step 4: Simplify right side
    180,484x = 148,326,657,424
  5. Step 5: Solve for x
    x = 148,326,657,424/180,484
  6. Step 6: Final answer
    x = 821,827.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.