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Finding the Third Proportional to 390,523 and 811,934

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Solution

The third proportional to 390,523 and 811,934 is: 1,688,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,523 : 811,934 = 811,934 : x
  2. Step 2: Convert to fraction form
    390,523/811,934 = 811,934/x
  3. Step 3: Cross multiply
    390,523x = 811,934 × 811,934
  4. Step 4: Simplify right side
    390,523x = 659,236,820,356
  5. Step 5: Solve for x
    x = 659,236,820,356/390,523
  6. Step 6: Final answer
    x = 1,688,087.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.