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Finding the Third Proportional to 316,996 and 470,253

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Solution

The third proportional to 316,996 and 470,253 is: 697,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,996 : 470,253 = 470,253 : x
  2. Step 2: Convert to fraction form
    316,996/470,253 = 470,253/x
  3. Step 3: Cross multiply
    316,996x = 470,253 × 470,253
  4. Step 4: Simplify right side
    316,996x = 221,137,884,009
  5. Step 5: Solve for x
    x = 221,137,884,009/316,996
  6. Step 6: Final answer
    x = 697,604.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.