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Finding the Third Proportional to 354,908 and 510,154

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Solution

The third proportional to 354,908 and 510,154 is: 733,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,908 : 510,154 = 510,154 : x
  2. Step 2: Convert to fraction form
    354,908/510,154 = 510,154/x
  3. Step 3: Cross multiply
    354,908x = 510,154 × 510,154
  4. Step 4: Simplify right side
    354,908x = 260,257,103,716
  5. Step 5: Solve for x
    x = 260,257,103,716/354,908
  6. Step 6: Final answer
    x = 733,308.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.