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Finding the Third Proportional to 486,169 and 769,213

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Solution

The third proportional to 486,169 and 769,213 is: 1,217,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,169 : 769,213 = 769,213 : x
  2. Step 2: Convert to fraction form
    486,169/769,213 = 769,213/x
  3. Step 3: Cross multiply
    486,169x = 769,213 × 769,213
  4. Step 4: Simplify right side
    486,169x = 591,688,639,369
  5. Step 5: Solve for x
    x = 591,688,639,369/486,169
  6. Step 6: Final answer
    x = 1,217,043.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.