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Finding the Third Proportional to 380,177 and 531,513

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Solution

The third proportional to 380,177 and 531,513 is: 743,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,177 : 531,513 = 531,513 : x
  2. Step 2: Convert to fraction form
    380,177/531,513 = 531,513/x
  3. Step 3: Cross multiply
    380,177x = 531,513 × 531,513
  4. Step 4: Simplify right side
    380,177x = 282,506,069,169
  5. Step 5: Solve for x
    x = 282,506,069,169/380,177
  6. Step 6: Final answer
    x = 743,090.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.