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Finding the Third Proportional to 501,690 and 777,141

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Solution

The third proportional to 501,690 and 777,141 is: 1,203,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,690 : 777,141 = 777,141 : x
  2. Step 2: Convert to fraction form
    501,690/777,141 = 777,141/x
  3. Step 3: Cross multiply
    501,690x = 777,141 × 777,141
  4. Step 4: Simplify right side
    501,690x = 603,948,133,881
  5. Step 5: Solve for x
    x = 603,948,133,881/501,690
  6. Step 6: Final answer
    x = 1,203,827.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.