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Finding the Third Proportional to 210,020 and 322,806

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Solution

The third proportional to 210,020 and 322,806 is: 496,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,020 : 322,806 = 322,806 : x
  2. Step 2: Convert to fraction form
    210,020/322,806 = 322,806/x
  3. Step 3: Cross multiply
    210,020x = 322,806 × 322,806
  4. Step 4: Simplify right side
    210,020x = 104,203,713,636
  5. Step 5: Solve for x
    x = 104,203,713,636/210,020
  6. Step 6: Final answer
    x = 496,160.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.