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Finding the Third Proportional to 470,724 and 720,219

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Solution

The third proportional to 470,724 and 720,219 is: 1,101,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,724 : 720,219 = 720,219 : x
  2. Step 2: Convert to fraction form
    470,724/720,219 = 720,219/x
  3. Step 3: Cross multiply
    470,724x = 720,219 × 720,219
  4. Step 4: Simplify right side
    470,724x = 518,715,407,961
  5. Step 5: Solve for x
    x = 518,715,407,961/470,724
  6. Step 6: Final answer
    x = 1,101,952.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.