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Finding the Third Proportional to 321,416 and 696,356

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Solution

The third proportional to 321,416 and 696,356 is: 1,508,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,416 : 696,356 = 696,356 : x
  2. Step 2: Convert to fraction form
    321,416/696,356 = 696,356/x
  3. Step 3: Cross multiply
    321,416x = 696,356 × 696,356
  4. Step 4: Simplify right side
    321,416x = 484,911,678,736
  5. Step 5: Solve for x
    x = 484,911,678,736/321,416
  6. Step 6: Final answer
    x = 1,508,673.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.