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Finding the Third Proportional to 210,079 and 314,385

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Solution

The third proportional to 210,079 and 314,385 is: 470,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,079 : 314,385 = 314,385 : x
  2. Step 2: Convert to fraction form
    210,079/314,385 = 314,385/x
  3. Step 3: Cross multiply
    210,079x = 314,385 × 314,385
  4. Step 4: Simplify right side
    210,079x = 98,837,928,225
  5. Step 5: Solve for x
    x = 98,837,928,225/210,079
  6. Step 6: Final answer
    x = 470,479.81

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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.