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Finding the Third Proportional to 321,924 and 685,428

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Solution

The third proportional to 321,924 and 685,428 is: 1,459,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,924 : 685,428 = 685,428 : x
  2. Step 2: Convert to fraction form
    321,924/685,428 = 685,428/x
  3. Step 3: Cross multiply
    321,924x = 685,428 × 685,428
  4. Step 4: Simplify right side
    321,924x = 469,811,543,184
  5. Step 5: Solve for x
    x = 469,811,543,184/321,924
  6. Step 6: Final answer
    x = 1,459,386.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.