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Finding the Third Proportional to 210,807 and 308,323

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Solution

The third proportional to 210,807 and 308,323 is: 450,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,807 : 308,323 = 308,323 : x
  2. Step 2: Convert to fraction form
    210,807/308,323 = 308,323/x
  3. Step 3: Cross multiply
    210,807x = 308,323 × 308,323
  4. Step 4: Simplify right side
    210,807x = 95,063,072,329
  5. Step 5: Solve for x
    x = 95,063,072,329/210,807
  6. Step 6: Final answer
    x = 450,948.37

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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.