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Finding the Third Proportional to 470,223 and 685,623

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Solution

The third proportional to 470,223 and 685,623 is: 999,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,223 : 685,623 = 685,623 : x
  2. Step 2: Convert to fraction form
    470,223/685,623 = 685,623/x
  3. Step 3: Cross multiply
    470,223x = 685,623 × 685,623
  4. Step 4: Simplify right side
    470,223x = 470,078,898,129
  5. Step 5: Solve for x
    x = 470,078,898,129/470,223
  6. Step 6: Final answer
    x = 999,693.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.