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Finding the Third Proportional to 210,723.38 and 314,838.38

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Solution

The third proportional to 210,723.38 and 314,838.38 is: 470,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,723.38 : 314,838.38 = 314,838.38 : x
  2. Step 2: Convert to fraction form
    210,723.38/314,838.38 = 314,838.38/x
  3. Step 3: Cross multiply
    210,723.38x = 314,838.38 × 314,838.38
  4. Step 4: Simplify right side
    210,723.38x = 99,123,202,372.64
  5. Step 5: Solve for x
    x = 99,123,202,372.64/210,723.38
  6. Step 6: Final answer
    x = 470,394.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.