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Finding the Third Proportional to 463,273 and 690,861

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Solution

The third proportional to 463,273 and 690,861 is: 1,030,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,273 : 690,861 = 690,861 : x
  2. Step 2: Convert to fraction form
    463,273/690,861 = 690,861/x
  3. Step 3: Cross multiply
    463,273x = 690,861 × 690,861
  4. Step 4: Simplify right side
    463,273x = 477,288,921,321
  5. Step 5: Solve for x
    x = 477,288,921,321/463,273
  6. Step 6: Final answer
    x = 1,030,254.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.