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Finding the Third Proportional to 210,078 and 306,090

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Solution

The third proportional to 210,078 and 306,090 is: 445,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,078 : 306,090 = 306,090 : x
  2. Step 2: Convert to fraction form
    210,078/306,090 = 306,090/x
  3. Step 3: Cross multiply
    210,078x = 306,090 × 306,090
  4. Step 4: Simplify right side
    210,078x = 93,691,088,100
  5. Step 5: Solve for x
    x = 93,691,088,100/210,078
  6. Step 6: Final answer
    x = 445,982.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.