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Finding the Third Proportional to 210,156 and 314,491

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Solution

The third proportional to 210,156 and 314,491 is: 470,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,156 : 314,491 = 314,491 : x
  2. Step 2: Convert to fraction form
    210,156/314,491 = 314,491/x
  3. Step 3: Cross multiply
    210,156x = 314,491 × 314,491
  4. Step 4: Simplify right side
    210,156x = 98,904,589,081
  5. Step 5: Solve for x
    x = 98,904,589,081/210,156
  6. Step 6: Final answer
    x = 470,624.63

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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.