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Finding the Third Proportional to 312,116 and 470,930

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Solution

The third proportional to 312,116 and 470,930 is: 710,553.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,116 : 470,930 = 470,930 : x
  2. Step 2: Convert to fraction form
    312,116/470,930 = 470,930/x
  3. Step 3: Cross multiply
    312,116x = 470,930 × 470,930
  4. Step 4: Simplify right side
    312,116x = 221,775,064,900
  5. Step 5: Solve for x
    x = 221,775,064,900/312,116
  6. Step 6: Final answer
    x = 710,553.34

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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.