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Finding the Third Proportional to 210,728 and 314,844

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Solution

The third proportional to 210,728 and 314,844 is: 470,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,728 : 314,844 = 314,844 : x
  2. Step 2: Convert to fraction form
    210,728/314,844 = 314,844/x
  3. Step 3: Cross multiply
    210,728x = 314,844 × 314,844
  4. Step 4: Simplify right side
    210,728x = 99,126,744,336
  5. Step 5: Solve for x
    x = 99,126,744,336/210,728
  6. Step 6: Final answer
    x = 470,401.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.