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Finding the Third Proportional to 354,717 and 521,703

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Solution

The third proportional to 354,717 and 521,703 is: 767,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,717 : 521,703 = 521,703 : x
  2. Step 2: Convert to fraction form
    354,717/521,703 = 521,703/x
  3. Step 3: Cross multiply
    354,717x = 521,703 × 521,703
  4. Step 4: Simplify right side
    354,717x = 272,174,020,209
  5. Step 5: Solve for x
    x = 272,174,020,209/354,717
  6. Step 6: Final answer
    x = 767,299.06

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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.