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Finding the Third Proportional to 310,738 and 470,307

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Solution

The third proportional to 310,738 and 470,307 is: 711,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,738 : 470,307 = 470,307 : x
  2. Step 2: Convert to fraction form
    310,738/470,307 = 470,307/x
  3. Step 3: Cross multiply
    310,738x = 470,307 × 470,307
  4. Step 4: Simplify right side
    310,738x = 221,188,674,249
  5. Step 5: Solve for x
    x = 221,188,674,249/310,738
  6. Step 6: Final answer
    x = 711,817.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.