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Finding the Third Proportional to 346,933.76 and 520,399.69

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Solution

The third proportional to 346,933.76 and 520,399.69 is: 780,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,933.76 : 520,399.69 = 520,399.69 : x
  2. Step 2: Convert to fraction form
    346,933.76/520,399.69 = 520,399.69/x
  3. Step 3: Cross multiply
    346,933.76x = 520,399.69 × 520,399.69
  4. Step 4: Simplify right side
    346,933.76x = 270,815,834,750.10
  5. Step 5: Solve for x
    x = 270,815,834,750.10/346,933.76
  6. Step 6: Final answer
    x = 780,598.11

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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.