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Finding the Third Proportional to 477,006 and 645,525

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Solution

The third proportional to 477,006 and 645,525 is: 873,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,006 : 645,525 = 645,525 : x
  2. Step 2: Convert to fraction form
    477,006/645,525 = 645,525/x
  3. Step 3: Cross multiply
    477,006x = 645,525 × 645,525
  4. Step 4: Simplify right side
    477,006x = 416,702,525,625
  5. Step 5: Solve for x
    x = 416,702,525,625/477,006
  6. Step 6: Final answer
    x = 873,579.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.