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Finding the Third Proportional to 210,438 and 314,766

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Solution

The third proportional to 210,438 and 314,766 is: 470,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,438 : 314,766 = 314,766 : x
  2. Step 2: Convert to fraction form
    210,438/314,766 = 314,766/x
  3. Step 3: Cross multiply
    210,438x = 314,766 × 314,766
  4. Step 4: Simplify right side
    210,438x = 99,077,634,756
  5. Step 5: Solve for x
    x = 99,077,634,756/210,438
  6. Step 6: Final answer
    x = 470,816.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.