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Finding the Third Proportional to 331,824 and 510,318

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Solution

The third proportional to 331,824 and 510,318 is: 784,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,824 : 510,318 = 510,318 : x
  2. Step 2: Convert to fraction form
    331,824/510,318 = 510,318/x
  3. Step 3: Cross multiply
    331,824x = 510,318 × 510,318
  4. Step 4: Simplify right side
    331,824x = 260,424,461,124
  5. Step 5: Solve for x
    x = 260,424,461,124/331,824
  6. Step 6: Final answer
    x = 784,827.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.