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Finding the Third Proportional to 175,386 and 378,796.50

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Solution

The third proportional to 175,386 and 378,796.50 is: 818,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,386 : 378,796.50 = 378,796.50 : x
  2. Step 2: Convert to fraction form
    175,386/378,796.50 = 378,796.50/x
  3. Step 3: Cross multiply
    175,386x = 378,796.50 × 378,796.50
  4. Step 4: Simplify right side
    175,386x = 143,486,788,412.25
  5. Step 5: Solve for x
    x = 143,486,788,412.25/175,386
  6. Step 6: Final answer
    x = 818,119.97

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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.