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Finding the Third Proportional to 291,534 and 438,201

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Solution

The third proportional to 291,534 and 438,201 is: 658,654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,534 : 438,201 = 438,201 : x
  2. Step 2: Convert to fraction form
    291,534/438,201 = 438,201/x
  3. Step 3: Cross multiply
    291,534x = 438,201 × 438,201
  4. Step 4: Simplify right side
    291,534x = 192,020,116,401
  5. Step 5: Solve for x
    x = 192,020,116,401/291,534
  6. Step 6: Final answer
    x = 658,654.28

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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.