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Finding the Third Proportional to 365,800 and 521,970

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Solution

The third proportional to 365,800 and 521,970 is: 744,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,800 : 521,970 = 521,970 : x
  2. Step 2: Convert to fraction form
    365,800/521,970 = 521,970/x
  3. Step 3: Cross multiply
    365,800x = 521,970 × 521,970
  4. Step 4: Simplify right side
    365,800x = 272,452,680,900
  5. Step 5: Solve for x
    x = 272,452,680,900/365,800
  6. Step 6: Final answer
    x = 744,813.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.