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Finding the Third Proportional to 354,772 and 521,760

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Solution

The third proportional to 354,772 and 521,760 is: 767,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,772 : 521,760 = 521,760 : x
  2. Step 2: Convert to fraction form
    354,772/521,760 = 521,760/x
  3. Step 3: Cross multiply
    354,772x = 521,760 × 521,760
  4. Step 4: Simplify right side
    354,772x = 272,233,497,600
  5. Step 5: Solve for x
    x = 272,233,497,600/354,772
  6. Step 6: Final answer
    x = 767,347.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.