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Finding the Third Proportional to 318,262 and 693,332

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Solution

The third proportional to 318,262 and 693,332 is: 1,510,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,262 : 693,332 = 693,332 : x
  2. Step 2: Convert to fraction form
    318,262/693,332 = 693,332/x
  3. Step 3: Cross multiply
    318,262x = 693,332 × 693,332
  4. Step 4: Simplify right side
    318,262x = 480,709,262,224
  5. Step 5: Solve for x
    x = 480,709,262,224/318,262
  6. Step 6: Final answer
    x = 1,510,419.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.