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Finding the Third Proportional to 377,905 and 528,337

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Solution

The third proportional to 377,905 and 528,337 is: 738,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,905 : 528,337 = 528,337 : x
  2. Step 2: Convert to fraction form
    377,905/528,337 = 528,337/x
  3. Step 3: Cross multiply
    377,905x = 528,337 × 528,337
  4. Step 4: Simplify right side
    377,905x = 279,139,985,569
  5. Step 5: Solve for x
    x = 279,139,985,569/377,905
  6. Step 6: Final answer
    x = 738,651.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.