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Finding the Third Proportional to 477,363 and 669,172

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Solution

The third proportional to 477,363 and 669,172 is: 938,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,363 : 669,172 = 669,172 : x
  2. Step 2: Convert to fraction form
    477,363/669,172 = 669,172/x
  3. Step 3: Cross multiply
    477,363x = 669,172 × 669,172
  4. Step 4: Simplify right side
    477,363x = 447,791,165,584
  5. Step 5: Solve for x
    x = 447,791,165,584/477,363
  6. Step 6: Final answer
    x = 938,051.68

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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.