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Finding the Third Proportional to 178,420 and 374,355

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Solution

The third proportional to 178,420 and 374,355 is: 785,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,420 : 374,355 = 374,355 : x
  2. Step 2: Convert to fraction form
    178,420/374,355 = 374,355/x
  3. Step 3: Cross multiply
    178,420x = 374,355 × 374,355
  4. Step 4: Simplify right side
    178,420x = 140,141,666,025
  5. Step 5: Solve for x
    x = 140,141,666,025/178,420
  6. Step 6: Final answer
    x = 785,459.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.