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Finding the Third Proportional to 477,026 and 668,543

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Solution

The third proportional to 477,026 and 668,543 is: 936,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,026 : 668,543 = 668,543 : x
  2. Step 2: Convert to fraction form
    477,026/668,543 = 668,543/x
  3. Step 3: Cross multiply
    477,026x = 668,543 × 668,543
  4. Step 4: Simplify right side
    477,026x = 446,949,742,849
  5. Step 5: Solve for x
    x = 446,949,742,849/477,026
  6. Step 6: Final answer
    x = 936,950.49

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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.