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Finding the Third Proportional to 377,712 and 811,331

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Solution

The third proportional to 377,712 and 811,331 is: 1,742,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,712 : 811,331 = 811,331 : x
  2. Step 2: Convert to fraction form
    377,712/811,331 = 811,331/x
  3. Step 3: Cross multiply
    377,712x = 811,331 × 811,331
  4. Step 4: Simplify right side
    377,712x = 658,257,991,561
  5. Step 5: Solve for x
    x = 658,257,991,561/377,712
  6. Step 6: Final answer
    x = 1,742,751.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.