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Finding the Third Proportional to 210,087 and 306,103

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Solution

The third proportional to 210,087 and 306,103 is: 446,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,087 : 306,103 = 306,103 : x
  2. Step 2: Convert to fraction form
    210,087/306,103 = 306,103/x
  3. Step 3: Cross multiply
    210,087x = 306,103 × 306,103
  4. Step 4: Simplify right side
    210,087x = 93,699,046,609
  5. Step 5: Solve for x
    x = 93,699,046,609/210,087
  6. Step 6: Final answer
    x = 446,001.16

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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.