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Finding the Third Proportional to 378,417 and 569,221.50

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Solution

The third proportional to 378,417 and 569,221.50 is: 856,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,417 : 569,221.50 = 569,221.50 : x
  2. Step 2: Convert to fraction form
    378,417/569,221.50 = 569,221.50/x
  3. Step 3: Cross multiply
    378,417x = 569,221.50 × 569,221.50
  4. Step 4: Simplify right side
    378,417x = 324,013,116,062.25
  5. Step 5: Solve for x
    x = 324,013,116,062.25/378,417
  6. Step 6: Final answer
    x = 856,232.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.