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Finding the Third Proportional to 346,208 and 520,560

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Solution

The third proportional to 346,208 and 520,560 is: 782,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,208 : 520,560 = 520,560 : x
  2. Step 2: Convert to fraction form
    346,208/520,560 = 520,560/x
  3. Step 3: Cross multiply
    346,208x = 520,560 × 520,560
  4. Step 4: Simplify right side
    346,208x = 270,982,713,600
  5. Step 5: Solve for x
    x = 270,982,713,600/346,208
  6. Step 6: Final answer
    x = 782,716.50

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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.