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Finding the Third Proportional to 304,662 and 486,513

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Solution

The third proportional to 304,662 and 486,513 is: 776,909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,662 : 486,513 = 486,513 : x
  2. Step 2: Convert to fraction form
    304,662/486,513 = 486,513/x
  3. Step 3: Cross multiply
    304,662x = 486,513 × 486,513
  4. Step 4: Simplify right side
    304,662x = 236,694,899,169
  5. Step 5: Solve for x
    x = 236,694,899,169/304,662
  6. Step 6: Final answer
    x = 776,909.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.