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Finding the Third Proportional to 303,056 and 463,808

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Solution

The third proportional to 303,056 and 463,808 is: 709,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,056 : 463,808 = 463,808 : x
  2. Step 2: Convert to fraction form
    303,056/463,808 = 463,808/x
  3. Step 3: Cross multiply
    303,056x = 463,808 × 463,808
  4. Step 4: Simplify right side
    303,056x = 215,117,860,864
  5. Step 5: Solve for x
    x = 215,117,860,864/303,056
  6. Step 6: Final answer
    x = 709,828.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.