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Finding the Third Proportional to 376,811 and 812,658

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Solution

The third proportional to 376,811 and 812,658 is: 1,752,637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,811 : 812,658 = 812,658 : x
  2. Step 2: Convert to fraction form
    376,811/812,658 = 812,658/x
  3. Step 3: Cross multiply
    376,811x = 812,658 × 812,658
  4. Step 4: Simplify right side
    376,811x = 660,413,024,964
  5. Step 5: Solve for x
    x = 660,413,024,964/376,811
  6. Step 6: Final answer
    x = 1,752,637.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.