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Finding the Third Proportional to 346,315.50 and 520,479

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Solution

The third proportional to 346,315.50 and 520,479 is: 782,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,315.50 : 520,479 = 520,479 : x
  2. Step 2: Convert to fraction form
    346,315.50/520,479 = 520,479/x
  3. Step 3: Cross multiply
    346,315.50x = 520,479 × 520,479
  4. Step 4: Simplify right side
    346,315.50x = 270,898,389,441
  5. Step 5: Solve for x
    x = 270,898,389,441/346,315.50
  6. Step 6: Final answer
    x = 782,230.05

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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.