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Finding the Third Proportional to 210,009.38 and 322,980.75

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Solution

The third proportional to 210,009.38 and 322,980.75 is: 496,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009.38 : 322,980.75 = 322,980.75 : x
  2. Step 2: Convert to fraction form
    210,009.38/322,980.75 = 322,980.75/x
  3. Step 3: Cross multiply
    210,009.38x = 322,980.75 × 322,980.75
  4. Step 4: Simplify right side
    210,009.38x = 104,316,564,870.56
  5. Step 5: Solve for x
    x = 104,316,564,870.56/210,009.38
  6. Step 6: Final answer
    x = 496,723.37

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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.