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Finding the Third Proportional to 183,390 and 401,772

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Solution

The third proportional to 183,390 and 401,772 is: 880,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,390 : 401,772 = 401,772 : x
  2. Step 2: Convert to fraction form
    183,390/401,772 = 401,772/x
  3. Step 3: Cross multiply
    183,390x = 401,772 × 401,772
  4. Step 4: Simplify right side
    183,390x = 161,420,739,984
  5. Step 5: Solve for x
    x = 161,420,739,984/183,390
  6. Step 6: Final answer
    x = 880,204.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.