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Finding the Third Proportional to 324,700 and 697,688

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Solution

The third proportional to 324,700 and 697,688 is: 1,499,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,700 : 697,688 = 697,688 : x
  2. Step 2: Convert to fraction form
    324,700/697,688 = 697,688/x
  3. Step 3: Cross multiply
    324,700x = 697,688 × 697,688
  4. Step 4: Simplify right side
    324,700x = 486,768,545,344
  5. Step 5: Solve for x
    x = 486,768,545,344/324,700
  6. Step 6: Final answer
    x = 1,499,133.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.