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Finding the Third Proportional to 346,707 and 518,661

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Solution

The third proportional to 346,707 and 518,661 is: 775,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,707 : 518,661 = 518,661 : x
  2. Step 2: Convert to fraction form
    346,707/518,661 = 518,661/x
  3. Step 3: Cross multiply
    346,707x = 518,661 × 518,661
  4. Step 4: Simplify right side
    346,707x = 269,009,232,921
  5. Step 5: Solve for x
    x = 269,009,232,921/346,707
  6. Step 6: Final answer
    x = 775,897.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.