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Finding the Third Proportional to 331,106 and 524,640

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Solution

The third proportional to 331,106 and 524,640 is: 831,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,106 : 524,640 = 524,640 : x
  2. Step 2: Convert to fraction form
    331,106/524,640 = 524,640/x
  3. Step 3: Cross multiply
    331,106x = 524,640 × 524,640
  4. Step 4: Simplify right side
    331,106x = 275,247,129,600
  5. Step 5: Solve for x
    x = 275,247,129,600/331,106
  6. Step 6: Final answer
    x = 831,296.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.