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Finding the Third Proportional to 377,907 and 528,340

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Solution

The third proportional to 377,907 and 528,340 is: 738,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,907 : 528,340 = 528,340 : x
  2. Step 2: Convert to fraction form
    377,907/528,340 = 528,340/x
  3. Step 3: Cross multiply
    377,907x = 528,340 × 528,340
  4. Step 4: Simplify right side
    377,907x = 279,143,155,600
  5. Step 5: Solve for x
    x = 279,143,155,600/377,907
  6. Step 6: Final answer
    x = 738,655.69

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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.