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Finding the Third Proportional to 321,574 and 689,804

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Solution

The third proportional to 321,574 and 689,804 is: 1,479,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,574 : 689,804 = 689,804 : x
  2. Step 2: Convert to fraction form
    321,574/689,804 = 689,804/x
  3. Step 3: Cross multiply
    321,574x = 689,804 × 689,804
  4. Step 4: Simplify right side
    321,574x = 475,829,558,416
  5. Step 5: Solve for x
    x = 475,829,558,416/321,574
  6. Step 6: Final answer
    x = 1,479,689.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.