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Finding the Third Proportional to 331,842 and 510,354

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Solution

The third proportional to 331,842 and 510,354 is: 784,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,842 : 510,354 = 510,354 : x
  2. Step 2: Convert to fraction form
    331,842/510,354 = 510,354/x
  3. Step 3: Cross multiply
    331,842x = 510,354 × 510,354
  4. Step 4: Simplify right side
    331,842x = 260,461,205,316
  5. Step 5: Solve for x
    x = 260,461,205,316/331,842
  6. Step 6: Final answer
    x = 784,895.24

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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.