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Finding the Third Proportional to 453,707 and 696,421

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Solution

The third proportional to 453,707 and 696,421 is: 1,068,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,707 : 696,421 = 696,421 : x
  2. Step 2: Convert to fraction form
    453,707/696,421 = 696,421/x
  3. Step 3: Cross multiply
    453,707x = 696,421 × 696,421
  4. Step 4: Simplify right side
    453,707x = 485,002,209,241
  5. Step 5: Solve for x
    x = 485,002,209,241/453,707
  6. Step 6: Final answer
    x = 1,068,976.69

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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.