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Finding the Third Proportional to 316,990 and 470,245

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Solution

The third proportional to 316,990 and 470,245 is: 697,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,990 : 470,245 = 470,245 : x
  2. Step 2: Convert to fraction form
    316,990/470,245 = 470,245/x
  3. Step 3: Cross multiply
    316,990x = 470,245 × 470,245
  4. Step 4: Simplify right side
    316,990x = 221,130,360,025
  5. Step 5: Solve for x
    x = 221,130,360,025/316,990
  6. Step 6: Final answer
    x = 697,594.12

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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.